sin(30+45) sin ( 30 + 45) Áp dụng công thức tổng của góc. 02:45.3em] \end{vmatrix}\) On expanding the above, ⇒ {cos 15°} {cos 15°} - {sin 15°} {sin 15°} On applying formula cos(A + B) = cos A cos B - sin A sin B = cos (15 + 15) = cos (30°) exact value of sin 75 + sin 15 Jika diketahui bahwa cos 1/2 theta=akar ( (x+1)/2x), operas Tentukan nilai dari sin 105+sin 15. Rewrite as . OR. Tentukan nilai dari: a. Differentiation. sin75-cos75=sin75-sin15=2cos (75+15)/2sin (75-15)/2=2cos45sin30=√2/2. SINE TABLE : sin(0)=0.258819 sin(30)=0.414.2588, 0. To convert degrees to radians, multiply by π 180° π 180 °, since a full circle is 360° 360 ° or 2π 2 π radians. ⇒ sin 2 15° + cos 2 15° + 2sin 15°. oblicz sin75°. Question: Express the sum as a product. =1/2 x 根号2/2 +根号3/2 x 根号2/2.16. 즉 합이 90도가 되는 두 각도의 사인값과 코사인 값은 각각 같다는 이야기죠. Jika diketahui x+y=270 maka . 2、sin75°. cos 15° We know that sin 2θ = 2 sin θ cos θ = 1 2 × sin 2 (15°) = 1 2 × sin (30°) = 1 2 × 1 2 = 1 4 Values of Sin 15, cos 15 ,tan 15 ,sin 75, cos 75 ,tan 75 of degrees can be easily find out using the trigonometric identities. Iklan. The exact value of is . We have \(\begin{vmatrix} cos 15^\circ & sin 15^\circ\\[0.cosB + cosA. 아래는 삼각형의 덧셈정리 Click here👆to get an answer to your question ️ the value of sin 15circ is Kesimpulan. 2 * (0. sin(75)cos(15) + cos(75)sin(15) Sederhanakan setiap suku. a si tu cu transformarea sumei in produsgasesti formula pe neteu n-am invatat-o niciodata si am promovat bine mersinu o sa itidea la BAC asa cevasau faci cu sin (45-30)+sin(45+30) astase face mai usor si dac ar trebuisa o fac far acces la formule , pe calea asta as merge Sin15, Sin75, Cos15, Cos75, Sin18, Sin36, Sin54, Sin72, Cos18, Cos36, Cos54, Cos72 trigonometrik değerleri tablodadır (nedir). Share. 3. Method 2: Another method to find the value of sin 15 degrees is join our group for asking your maths doubt pls click below link sin 15° sin 75° + cos 75° cos 15 Find the Exact Value sin(15) Step 1. on the L. Time Tables 20. The SSC CGL Eligibility is a bachelor's degree in the concerned discipline. You can obtain the values from a table and then work out the arithmetic. Step 5. Step 2. Now, let A = 30 ° then, A 2 = 30 ° 2 = 15 ° and from the above equation we get, sin 15 ∘ + cos 15 ∘ = ± 1 + sin 30 ∘ Similarly, for all values of the angle A , sin A 2 - cos A 2 2 = sin 2 A 2 + cos 2 A 2 - 2 sin A 2 cos A 2 = 1 - sin ( 2 × A 2 ) [ ∵ sin 2 θ + cos 2 θ = 1 a n d sin 2 θ = 2 sin θ c o s θ ] = 1 - sin A Write the given expression as a single trigonometric function. can be obtained using. So. Here is an example of using a sum identity: Find #sin15^@#. Prove that the given identity is true. Step 5. 4 În trei luni la teatrul ,,Luceafărul" s-au realizat 54 728 de bilete.cosB+sinB. The exact value of is . 0. We would like to show you a description here but the site won't allow us. So, sin 15° – cos 15° < 0.pl. Find the answer sec 2 10 − cot 2 80 + sin 15. Tonton video. Understand methods to find the value of sin 15 degrees with examples and FAQs. Simplify each term. So by applying the above formula we get, sin 75 ∘ = sin 45 ∘ cos 30 ∘ + cos 45 ∘ sin 30 ∘.9659) of unit circle and r. Determine the sign using the half angle: Positive (+) if the half angle lies on the 1st or 2nd quadrants; or. Squaring on both sides, we get.258819045. If sin (A + B) = sin A cos B + cos A sin B and cos (A - B) = cos A cos B + sin A sin B, find the values of (i) sin 75∘ and (ii) cos 15∘. Question.2588 (approx) sin 15° sin 75° = sin 75° sin 15° = sin (90° - 15°). Dalam menghitung 2 sin 75 sin 15, kita mentransformasikan sin 75 dan sin 15 menjadi ekspresi matematika yang lebih sederhana dan akurat. cos B - sinA .)°51 - °09( nis = °51 nis °57 nis = °57 nis °51 nis :neviG :noitaluclaC . … Split 75 75 into two angles where the values of the six trigonometric functions are known. Expanding the determinant, we get . Find the EXACT value of sin(15°) using a sum or difference formula. Step-by-step explanation: Given : Sin^2 15° + sin^2 30° + sin^2 45° +sin^2 60° +sin^2 75° To Find : The value of Sin^2 15° + sin^2 30° + sin^2 45° +sin^2 60° +sin^2 75° Solution : We know that, sin²a + sin²b = 1, where a + b = 90°. jika kalian menemukan soal seperti ini maka cara penyelesaiannya kalian bisa menggunakan rumus trigonometri yaitu Sin a + b di sini bisa kita Tuliskan rumusnya seen as a + b itu bisa dijabarkan menjadi sinus cosinus B ditambah dengan cosinus a b, maka dari itu disini kita mempunyai 75 ada di sini sih Nas 75 itu bisa kita Ubah menjadi Sina 45 ditambah 30 Maka hasilnya menjadi 45 dikalikan You can put this solution on YOUR website! Sin 75°+cos 75° ~~~~~ sin(75°) + cos(75°) = (use cos(75°) = sin(90°-75°) = sin(15°) ) = sin(75°) + sin(15 So, sin 15° cos 15° = (1/2) sin (2*15°) = (1/2)sin 30° Cos15 o - sin15 o =? Q. Mathematics. If possible, find this product's exact value. Since cosine function is positive in the first quadrant, thus cos 15° value = (√6 + √2)/4 or 0.707.15.866025 sin(75)=0. If you want sine 15° with higher accuracy, then use the Here, we have to find the value of sin 75° cos 15° + cos 75° sin 15°. The exact value of is .sinB ⇒ sin (75) + sin (15) = (sin45. SSC CGL Result Out on 6th December 2023. Nyatakan sebagai jumlah atau selisih kosinus, dan sederha As we know, ⇒ cos (A - B) = cos A cos B + sin A sin B ⇒ sin 15° sin 75° + cos 75° cos 15° ⇒ cos 75° cos 15° + sin 15&d. Kita gunakan rumus selisih cos ( α - β ) = cos α cos β + sin α sin β. Salah satu fungsi trigonometri yang penting adalah fungsi sinus (sin). Những bài toán phổ biến.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and CBSE, UP Board, Bihar Board, Rajasthan Board, MP Board, Telangana Board etc Sin and Cos of 3°, 21°, 33°, 39°, 51°, 57°, 69°, and 87° each have two answers. Answer: Using the values of $\sin 75$ and $\cos 75$ we can compute the value of the product $\sin 75 \cos 75. Step 4. 9. Step 3. Tentukan Nilai yang Tepat sin(15 derajat ) Step 1. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.sin30) = 2sin45. We know by formulas that sin(A+B) = sinA. But in that case the multiple angle formula gives us the $\sin \left( 75\times 2 \right)=\sin 150$ instead of $\sin 30=\dfrac{1}{2}$. The SSC CGL Eligibility is a bachelor’s degree in the concerned discipline. 10 asked Jun 4, 2021 in Trigonometry by Daakshya01 ( 30.). Tap for more steps Step 1. Step 1. Tap for more steps Combine fractions. ⇒ 1 + sin 30° = t 2. Serial order wise. componendo-dividendo on sin75∘ sin15∘. Step 7. Jawaban Nilai sin 75 sin 15. Guides.sinB and, sin (A - B) = sinA.965926 sin(90)=1. Ketuk untuk lebih banyak langkah √2 + √6 4 + √6 - √2 4. Maka rumusnya … \sin (75)\cos (15) en. cos 15°. Click here:point_up_2:to get an answer to your question :writing_hand:evaluate the following determinants beginvmatrix cos15circ sin15circ sin75circ. 입니다. 也可以 Answer: sin^2 15° + sin^2 30° + sin^2 45° +sin^2 60° +sin^2 75° = 2. If we divide the numerator of the value of sin 15 in fractional form with its denominator we will get a decimal number. Evaluate ∣∣ ∣cos15∘ sin15∘ sin75∘ cos75∘∣∣ ∣. 아래는 삼각형의 덧셈정리 입니다.cos30 - cos45. The value will be expressed as requested; i.sinB and, sin(A – B) = sinA. Now write it in the reverse direction: Free trigonometry calculator - calculate trignometric equations, prove identities and evaluate functions step-by-step The value of sin 15° will be positive because 15° lies in the first quadrant. cos (15° + 75°) = cos 15° cos 75° - sin 15° cos 75° ⇒ cos 90° = cos 15° cos 75° - sin 15° cos 75° So, substituting it, we get. Enter a problem Cooking Calculators. Pass; Skill Academy; Free Live Classes; Free Live Tests & Quizzes; Previous Year Papers; Doubts; Evaluate the Following Determinant: ∣ ∣ ∣ Cos 15 ∘ Sin 15 ∘ Sin 75 ∘ Cos 75 ∘ ∣ ∣ ∣ . sin A + sin B = 2sin{(A+B)/2}cos {(A-B)/2} so, 2(sin 15º+sin 75°) = 2×2 sin {(15+75)/2}cos {(15-75)/2} =4sin {90/2}cos {(-60/2)} =4sin 45° cos (-30°) we know. Calculate s i n 15 o.1. =sin45°cos30°-cos45°sin30°. We will substitute the values of √3 and √2 in the above fraction.cosB+sinB. Evaluate the following and justify your answer. Click a picture with our app and get instant verified solutions. 10 asked Jun 4, 2021 in Trigonometry by Daakshya01 ( 30. View Solution. One is longer, but the Sqrt's are nested only two deep; one is more concise but the Sqrt's are three deep. Trigonometry. To find the value of sin 75 degrees using the unit circle: Rotate ‘r’ anticlockwise to form a … The value of sin 15 degrees in decimal is 0. Click a picture with our app and get instant verified solutions. . Important Solutions 1004.7 Solving Systems with Inverses; 9.9659) of the point of intersection (0. In this post, we will learn how can we find value of sin 15, sin 75, cos 15, cos 75, tan 15, tan 75, cot 15, cot 75, sec 15, sec 75, cosec 15 and cosec 75 degrees. MH. Tap for more steps 0. The sin of 15 degrees is (√6-√2)/4, the same as sin of 15 degrees in radians.4 Partial Fractions; 9. Step by step video & image solution for What is value of expression 2(sin15^(@)+sin75^(@))^(2)? by Physics experts to help you in doubts & scoring excellent marks in Class 12 exams. In this case, 15 15 can be split into 60 −45 60 - 45. In this comprehensive trigonometry tutorial, we delve into the world of compound angles and demonstrate how to calculate the values of sin(75) and sin(15) us Ask Question Asked 9 years ago Modified 9 years ago Viewed 2k times 3 Steps I took: 1) Finding the value of the left hand side sin45 = sin90 2 = √1 − cos90 2 = √1 2 = √2 2 sin 15 = sin 30 2 = 1 − cos 30 2− −−−−−−−−√ = 1 − 3√2 So, sin45 + sin15 = √2 + √2 − √3 2 2) Rewriting sin75 Split 75 75 into two angles where the values of the six trigonometric functions are known.
1
. Syllabus. Dalam trigonometri, sin 75 dan sin 15 adalah nilai sinus dari sudut 75 derajat dan 15 derajat. View Solution.Asoc + Bsoc. sin 75 ∘ can be expressed as, sin 75 ∘ = sin ( 45 ∘ + 30 ∘) We know that sin ( A + B) = sin A cos B + cos A sin B. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. The right rope hangs from the right wall at an angle of 75 degrees from the wall. As, sin 45 ∘ = 1 2, cos 30 ∘ = 3 2 Terdapat soal sebagai berikut nilai dari sin 75 derajat + sin 15 derajat adalah untuk menyelesaikan soal tersebut kita gunakan konsep penjumlahan trigonometri yaitu jika ada sin a + sin b. Tap for more steps Step 1. Subham Karmakar Subham Karmakar. We know that √3 = 1. Solve your math problems … cos(90° - 75°) = cos 15°-cos(90° + 75°) = -cos 165° Sin 75 Degrees Using Unit Circle. Lượng giác. Herdianira. Show transcribed image text. 또한 위처럼 15도, 75도 등을 구하려면 삼각함수의 덧셈정리를 쓰면 됩니다.3.2k points) trigonometric functions View Solution. ⇒ t = √(3/2) Download PDF. cos ( α + β ) = cos α cos β − sin α Sa se calculeze: A)sin 75; - 612819. {8x + 2y = 46 7x + 3y = 47. so, =4×1/√2 × √ cos (A + B) = cos A cos B - sin A sin B. The exact value of is . Separate negation. sin75 = sin(45 + 30) = … Split 75 75 into two angles where the values of the six trigonometric functions are known. ∫ 01 xe−x2dx. Let u + v 2 = α and u − v 2 = β. Solution: Using trigonometric identities, we know, sin(15°) = cos(90° - 15°) = cos 75°. Sudut A dan sudut B Nilai dari sin 255 adalah . Now we got, from (2) sin 15° – cos 15°= -√(1 – sin 30°) … (4) Adding eq. Sports - 01. Q 5. Hasilnya dapat ditampilkan dalam beberapa bentuk.3em] sin 15^\circ & cos 15^\circ \\[0. Transcript.margorP gninraeL S'UJYB nioJ . \sec ^2 \theta-\tan ^2 \theta=1 sec2θ−tan2θ = 1. sin 15° = sin (45° - 30°) = sin 45° cos 30° - cos 45° sin 30° = 1/√2 × √3/2 −1/√2 × 1/2 = 1/√2 ( (√3 − 1)/2) = (√𝟑 − 𝟏)/ (𝟐√𝟐) Next: Example 12 → Ask a doubt. Jawaban Nilai sin 75 sin 15. Recall that formula: sin(x + y) = sinxcosy +cosxsiny.650288 sin(30)=-0. sin B] The sum-to-product formulas allow us to express sums of sine or cosine as products. = 1. Jawaban terverifikasi.1.cosA 2(sin 15+ sin 75)^2 . Maka rumusnya ialah 2 Sin setengah a + b dikali cos setengah A min b tersebut kita aplikasikan konsep tersebut kesal tadi pertama tulis dulu Sin 75 derajat Calculati sin 15° + sin 75° - 4066098. . sin 45° = 1/√2. Tap for more steps √6 2 The result can be shown in multiple forms. sin(30)cos(45)+cos(30)sin(45) sin ( 30) cos ( 45 Now the sum formula for the sine of two angles can be found: sin(α + β) = 12 13 × 4 5 +(− 5 13) × 3 5 or 48 65 − 15 65 sin(α + β) = 33 65 sin ( α + β) = 12 13 × 4 5 + ( − 5 13) × 3 5 or 48 65 − 15 65 sin ( α + β) = 33 65. But in that case the multiple angle formula gives us the $\sin \left( 75\times 2 \right)=\sin 150$ instead of $\sin 30=\dfrac{1}{2}$. \sin 8 x \cos 7 x-\cos 8 x \sin 7 x sin8xcos7x−cos8xsin7x. Separate negation. cos 15° = sin 75° =. Q 5. Tap for more steps Multiply √6−√2 4 ⋅ π 180 6 - 2 4 ⋅ π 180. Step 5. Recall that there are multiple angles that add or The value of Δ = ∣∣ ∣cos15∘ sin15∘ sin75∘ cos75∘∣∣ ∣ is[2 marks] View Solution. Example 3 Find , and , if , and and are the first quadrant angles. 17 mar 12:16. Step 5.1.cosA 2(sin 15+ sin 75)^2 . 아래는 삼각형의 덧셈정리 Click here👆to get an answer to your question ️ the value of sin 15circ is Kesimpulan. sin 75° + sin 15° = 2 cos 45° sin 30° OF. Apply the difference of angles identity. Related Symbolab blog posts. Given trigonometric ratio: sin 75 ∘.e. Concept Notes & Videos 720. Step 5. The sin of 75 degrees equals the y-coordinate (0. sin195∘ = sin(45∘ +150∘) = sin45∘cos150∘ + cos45∘sin150∘ $\cos 105° + \sin 75°= \cos 105° +\cos 15°= \cos(60+45)+\cos (60-45)$ Check from the above given formulas, and you should get the same answer. 3rb+ 1. In this video, we solve another math challenge problem: sin 75 + sin 15. Step 6.732 and √2 = 1.

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The exact value of is . sin(30)cos(45)+cos(30)sin(45) sin ( 30) cos ( 45) + cos ( 30) sin ( 45) The exact value of sin(30) sin ( 30) is 1 2 1 2. sin(30)cos(45)+cos(30)sin(45) sin ( 30) cos ( 45) + cos ( 30) sin ( 45) The exact value of sin(30) sin ( 30) is 1 2 1 2. 2 * (0. Ask Unlimited Doubts; Video Solutions in multiple languages (including Hindi) Video Lectures by Experts; Free PDFs (Previous Year Papers, Book Solutions, and many more) Attend Special Counselling Seminars for IIT-JEE, NEET and Board Exams; Login +91. Nilai eksak dari adalah . sin (75°) cos (159) + cos (75°) sin (15°) sin (75°) cos (15°) + cos (75°) sin (15°) = | (Type an exact answer, using radicals as needed. sin 75 cos 75 . Concept Notes & Videos 386 Syllabus.. sin(60−45) sin ( 60 - 45) Use the difference formula for sine to simplify the expression. Cancel the common factor of 1 sin 15° cos 75° + cos 15 ° sin 75 ° =sin(15°+75°)=sin(90)=1. Nah untuk yang seperti ini itu ada komosta Sendirinya lagi sin a ditambah B = Sin a * cos B + cos a * sin B pertama-tama kita cari Sin 5 + 35 dulu karena telah kita dapat sin75 ini baru kita bisa masukkan ke sini karena untuk sudah sampai 5 derajat Jika ini kita pecah lagi dia itu jadi 3 jadi 45 + 90 Tapi ngomongnya itu hanya seperti ini maka Get the Free Answr app.2588 + 0. I got 2 * (sin 15 + sin 75) 2 . Q. The exact value of sin(15) sin ( 15) is √6−√2 4 6 - 2 4. Exact Form: √6 2 Decimal Form: 1. … sin 2θ = 2 sin θ cos θ . The sin of 15 degrees equals the y-coordinate (0. Split into two angles where … The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan). Step 1. The whole trigonometric functions and formulas are designed based on three primary ratios. 150∘ = 5 × 30∘ and sin150∘ = 1 2 and cos150∘ = − √3 2. trigonometry. sin(75°) = (√(3)+1) / (2√2) And, cos(75°) = cos(45° + 30°) We also have a compound angle formula for cosine function, Thus, sin(15°) = 0. Trigonometri adalah cabang matematika yang mempelajari hubungan antara sudut dan panjang sisi segitiga. The Tier-1 Examination was conducted from 14th July 2023 to 27th July 2023. Note: We could also find the sine of 15 degrees using sine (45° − 30°). Solve. We know by formulas that sin(A+B) = sinA. cos 75 + cos 15 sin 75 cos Using fundamental theorem of determinant, ∣ ∣ ∣ cos 15 o sin 15 o sin 75 o cos 75 o ∣ ∣ ∣ = cos 15 o cos 75 o − sin 15 0 sin 75 o = cos (75 o + 15 o) = cos 90 o = 0, [using sum to product formula] Find: sin 75 deg Answer: sin 75 = +- sqrt(2 + sqrt3)/2 Call sin 75 = sin t --> cos 150 = cos 2t On the trig unit circle, cos (150) = cos (180 - 30) = - cos 30 View Solution. Tonton video. Diketahui cos A=5/3 dan cos B=13/12.sin30) + (sin45.9659 (approx) To find the value of sin 15 degrees using the unit circle: Rotate 'r' anticlockwise to form a 15° angle with the positive x-axis. 17 mar 12:14. Hence the value of sin 75° = y = 0.S. Sederhanakan suku-suku. In this post, we will learn how can we find value of sin 15, sin 75, cos 15, cos 75, tan 15, tan 75, cot 15, cot 75, sec 15, sec 75, cosec 15 and cosec 75 degrees. sin 15° = cos 15°. sin 75° + sin 15° Choose the correct answer below. O A. 45 +150 -- I note that 150 is divisible by 30, so I should know the sine and cosine of 150∘.2588) of unit circle and r.25881.4. 와. Given trigonometric ratio: sin 75 ∘ sin 75 ∘ can be expressed as, sin 75 ∘ = sin ( 45 ∘ + 30 ∘) We know that sin ( A + B) = sin A cos B + cos A sin B So by applying the above formula we get, sin 75 ∘ = sin 45 ∘ cos 30 ∘ + cos 45 ∘ sin 30 ∘ Trigonometry Find the Exact Value sin (75)cos (15) sin(75)cos(15) The exact value of sin(75) is √2 + √6 4. Example 11 Find the value of sin 15°. cos ( α + β ) = cos α cos β − sin α sin β.sinB . In a previous post, we learned about trig evaluation. Evaluate the following and justify your answer.6 Solving Systems with Gaussian Elimination; 9. CBSE Science (English Medium) Class 12. dxd (x − 5)(3x2 − 2) Integration. ⇒ sin75∘ sin15 Maths Math Article Value Of Sin 15 Value of sin 15 Value of sine 15 degrees can be evaluated easily. sin 75° + sin 15° = 2 sin 45° sin 30° O E. Write the expression as a single trigonometric function. = 0.°51 soc . Explanation: The expression given matches the pattern of the formula for sin(x + y). Tap for more steps Step 1. Terdapat soal sebagai berikut nilai dari sin 75 derajat + sin 15 derajat adalah untuk menyelesaikan soal tersebut kita gunakan konsep penjumlahan trigonometri yaitu jika ada sin a + sin b. Prove that cos 105° + cos 15° = sin 75° − sin 15°.387782 sin(90)=0.850904 sin(60)=-0. Use integers or fractions for any numbers in the expression. Tap for more steps √2 + √6 4 cos(15) The exact value of cos(15) is √6 + √2 4. 8 C. cos (-x)=cos x. Note: we can also convert $\sin 15$ into $\cos 75$.1. Stay updated with the Mathematics questions & answers with Testbook. Trigonometri adalah cabang matematika yang mempelajari hubungan antara sudut dan panjang sisi segitiga. View Solution. The value of the expression $2{{\left( \sin 15+\sin 75 \right)}^{2}}$ is 3. c o s 15 o. The exact value of is . What is trigonometry used for? Trigonometry is used in a variety of fields and applications, including geometry, calculus, engineering, and physics, to solve problems involving angles, distances, and ratios. ⇒ cos 15° = cos 375° = cos 735°, and so on.707107 sin(60)=0. 3. Get Started. Step 4.3 Lakh Users 100 Questions 200 Marks 60 Mins Start Now Detailed Solution Download Solution PDF ⇒ sin 15° + sin 75° = sin 15° + cos 15° = t Squaring on both sides, we get ⇒ sin 2 15° + cos 2 15° + 2sin 15°. 30 +165 -- I don't recognize 165∘ as a multiple of a special angle. Expert-verified.8 Solving Systems with Cramer's Rule Trigonometri Contoh.9659) of unit circle and r.9659) of the point of intersection (0. Split into two angles where the values of the six trigonometric functions are known. matematykaszkolna. Step 7. the SSG has released the revised result for the exam held on the 26th and 27th of October 2023. Click here:point_up_2:to get an answer to your question :writing_hand:12 what is value of expression 2 left sin 15 circ. Pisahkan negasi. Example 3: Find the value of 5 sin(15°)/7 cos(75°). The exact value of is . ⇒ 1 + 1/2 = t 2. Untuk menghitung nilai sin 75 sin 15, kita perlu memahami terlebih dahulu tentang trigonometri dan bagaimana sinus dapat dihitung. (i) sin2 +sin275 cos236 +cos2. . As we know that, sin x cos y + cos x sin y = sin (x + y) ∴ sin 75° cos 15° + cos 75° sin 15° = sin (75° + 15°) = sin 90°.304811 sin(75)=-0. Join / Login. Step 2. . 7 B. 三角函数是基本初等函数之一,是以角度(数学上最常用弧度制,下同)为自变量,角度对应任意角终边与单位圆交点坐标或其比值为因变量的函数。. trigonometry. 즉 합이 90도가 되는 두 각도의 사인값과 코사인 값은 각각 같다는 이야기죠. . Step 6.2 √3 + 1/2 √2 . To obtain 15 degrees in radian multiply 15° by π / 180° = 1/12 π. … The value of sin^2 5° + sin^2 10° + sin^2 15° + … + sin^2 85° + sin^2 90° is A.988032 sin(45)=0. cos 15° = cos ( 45° - 30° ) = cos 45 cos 30 + sin 45 sin 30. Salah satu fungsi trigonometri yang penting adalah fungsi sinus (sin).9659, 0. It is important that topic is mastered before continuing Read More.2588, 0. We now find the sine of 36°, by first finding the cos of 36°. Click here:point_up_2:to get an answer to your question :writing_hand:find the value of sin 75 circ. Important Solutions 7569. View Solution. Pull terms out from under the radical. Find the exact value of sin15∘ sin 15 ∘. sin 15 degrees = (√6-√2)/4. What is value of expression 2(sin 15º+sin 75°)? Solution:--we know that. Find the Exact Value sin(75)cos(15) Step 1. Parentheses will be used to create non-ambiguous expressions. Tap for more steps 2 +√3 4 + 2−√3 4 2 + 3 4 + 2 - 3 4 Simplify terms. cos 75° cos 15" - sin 75°sin 15sin (750 - 159) sin 60° OC, cos 75 Another way to solve the Example 2 is to note that 15° = 90° - 75° and then to apply the formulas for the complementary angle and to use results of the Example 1: cos(15°) = sin(75°) = , sin(15°) = cos(75°) = , tan(15°) = cot(75°) = 1/tan(75°) = . Bagi menjadi dua sudut di mana nilai dari enam fungsi trigonometrinya diketahui.22 sin(75°) - sin(15°) ≈ 0. 7 Min. Note: Since, cosine is an even function, the value of cos (-15°) = cos (15°). 15 +180 will work, if you know sin15. The exact value of is . What is trigonometry used for? Trigonometry is used in a variety of fields and … In this comprehensive trigonometry tutorial, we delve into the world of compound angles and demonstrate how to calculate the values of sin (75) and sin (15) … sin45 = sin90 2 = √1 − cos90 2 = √1 2 = √2 2. Also there can be many ways to find out the values. = 1/4 √6 + 1/4 √2. If sin (A + B) = sin A cos B + cos A sin B and cos (A - B) = cos A cos B + sin A sin B, find the values of (i) sin 75∘ and (ii) cos 15∘. 7 B. = (根号2+根号6)/4. We will begin with the sum and difference formulas for cosine, so that we can find the cosine of a given angle if we can break it up into the sum or difference of two of the special angles. View Solution. Nilai dari cos 75 cos 15-sin 75 sin 15 adalah .2588) of the point of intersection (0. 참고로 sinx = cos (90-x)입니다. BUT we don't know sine and cosine of #75^@#. Step 6. Ekspresi sin 2x cos 2x ekuivalen dengan ekspresi . Find the exact value of the expression.3.3 Systems of Nonlinear Equations and Inequalities: Two Variables; 9. Click here👆to get an answer to your question ️ Evaluate sin 15^∘sec 75^∘. Trigonometry . The trigonometric identities can be used to represent sin 15° as follows: sin(180° - 15°) = sin 165°-sin(180° + 15°) = -sin 195° cos(90° - 15°) = cos 75°-cos(90° + 15°) = -cos 105° Simplify: sin 15° sin 75° + cos 75° cos 15° - YouTube join our group for asking your maths doubt pls click below link sin 15° sin 75° Trigonometry Simplify sin (75)cos (15)+cos (75)sin (15) sin(75) cos (15) + cos (75)sin (15) sin ( 75) cos ( 15) + cos ( 75) sin ( 15) Simplify each term.2k points) trigonometric functions View Solution. 8sin15cos15 b. Step 4. Use app Login. Iklan. $$ Stack Exchange Network Stack Exchange network consists of 183 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Trigonometry is a branch of mathematics concerned with relationships between angles and ratios of lengths. Example 11 Find the value of sin 15°. 또한 위처럼 15도, 75도 등을 구하려면 삼각함수의 덧셈정리를 쓰면 됩니다. Figure 2 The Unit Circle. sin 15° = 1 2 2. See Table 1. Note: we can also convert $\sin 15$ into $\cos 75$. View More. The exact value of is . =(根号6-根号2)/4. Untuk menghitung nilai sin 75 sin 15, kita perlu memahami terlebih dahulu tentang trigonometri dan bagaimana sinus dapat dihitung. sin 75° + sin Explanation: For cos 15 degrees, the angle 15° lies between 0° and 90° (First Quadrant ). 2) Rewriting sin75. Tentukan Nilai yang Tepat sin (75)+sin (15) sin(75) + sin(15) Sederhanakan setiap suku. Use a sum or difference identity to find an exact value of cot(5π 12).9659258. Find the exact value of the expression cos 75°cos 15° - sin 75°sin 15° Rewrite the expression using a sum or difference formula Choose the correct answer below. These ratios are Sine, cosine, and tangent in trigonometry. Formula used : (i) cos(A + B) = cos A cos B - sin A sin B. If we can find (think of) two angles #A# and #B# whose sum or whose difference is 15, and whose sine and cosine we know.3, 5 Find the value of: sin 75° sin 75° = sin (45° + 30°) = sin 45° cos 30° + cos 45° sin 30° = 𝟏/√𝟐 × √𝟑/𝟐 + 𝟏/√𝟐 × 𝟏/𝟐 = 1/√2 (√3/2 " + " 1/2) = (√𝟑 + 𝟏)/ (𝟐√𝟐) Next: Ex 3. Step 7. sin 75° + sin 15° = 2 cos 90° sin 60° O c. 1 2cos(45)+cos(30)sin(45) 1 2 cos ( 45) + cos ( 30) sin ( 45) The exact Find the value of given trigonometric ratio. High School Math Solutions – Trigonometry Calculator, Trig Equations. Prize & Rules. cos 30°=√3/2.cos30 + cos45. sin 75° = cos (15° + 75° ) = cos 90° = 0 [since cos (A + B) = cos A. Our results of sin15° have been rounded to five decimal places. cos(75)cos(15) - sin(75)sin(15) Simplify each term. Sin 15degrees = sin (1/12 × π). Add and . The exact value of is . 참고로 sinx = cos (90-x)입니다. The exact value of is . Placement Papers. Standard XII. Dalam trigonometri, sin 75 dan sin 15 adalah nilai sinus dari sudut 75 derajat dan 15 derajat. cos50 ∘ cos5 ∘ + sin50 ∘ sin5 ∘ = cos(50 ∘ − 5 ∘) = cos45 ∘ = √2 2.1.1 = ∘57nis∘51soc+ ∘57soc∘51nis :rewsna eht evah eW 8102 ,1 raM 93232nitram knil rewsnA 1 = )09(nis = )°57 + °51(nis = °57nis°51soc + °57soc°51nis :noitanalpxE . sin(30+45) sin ( 30 + 45) Apply the sum of angles identity. Combine fractions. I don't know how to combine trigonometric ratios to equivalencies. 참고로 sinx = cos(90-x)입니다.5. Ketuk untuk lebih banyak langkah Penjawab soal matematika gratis menjawab soal pekerjaan rumah aljabar, geometri, trigonometri, kalkulus, dan statistik dengan penjelasan langkah-demi-langkah, seperti Constitution of India MCQ Cost Accounting MCQ. Simplify (sin 75^(@)-sin 15^(@))/(cos 75^(@)+cos 15^(@)) 03:25. Ketuk untuk lebih banyak langkah Sederhanakan suku-suku. Value of sin 15 in fraction form = √3 - 1 2√2. $$ Then I got $$ (\sqrt{3}-2) \sin(15^°) = \cos(15^°). 입니다. 1. More. What is trigonometry used for? Trigonometry is used in a variety of fields and applications, including geometry, calculus, engineering, and physics, to solve problems involving angles, distances, and ratios. x→−3lim x2 + 2x − 3x2 − 9. The Greeks focused on the calculation of chords, while mathematicians in India created the earliest Бесплатное решение математических задач с поэтапными пояснениями поможет с домашними заданиями по алгебре, геометрии, тригонометрии, математическому анализу и статистике подобно репетитору по математике. 1 2cos(45)+cos(30)sin(45) 1 2 cos ( 45) + cos ( 30) sin ( 45) sin(75) +sin(15) Solve Evaluate 1. 또한 위처럼 15도, 75도 등을 구하려면 삼각함수의 덧셈정리를 쓰면 됩니다. Nilai dari 2sin 67,5cos 67,5=. Question Papers 1978.

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sin 15° = cos 15°. MCQ Online Mock Tests 22.. Separate negation. Step 3. Q 4. 1/2. See Answer. so, = 4sin 45° cos 30° we know.000000 sin(15)=0. Lets explore few ways Value of sin 15 degrees Method 1 ( using sin 30) Solution Find the value of given trigonometric ratio. Split into two angles where the values of the six trigonometric functions are known. Walkins. Trigonometry questions and answers. As we know that, cos x cos y - sin x sin y = cos (x + y) ∴ cos 75° cos 15° - sin 75° sin 15° = cos (75° + 15°) = cos 90°. I got 2 * (sin 15 + sin 75) 2 . Prove the identity. Serial order wise. Tap for more steps Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Split into two angles where the values of the six trigonometric functions are known. Question: 3. Expand Using Sum/Difference Formulas sin (15) sin(15) sin ( 15) First, split the angle into two angles where the values of the six trigonometric functions are known. Sin 15 degrees can also be expressed using the equivalent of the given angle (15 degrees) in radians (0. This year, SSC completely changed the exam pattern. Dengan menggantikan nilai sin 75 = (√6 + √2) / 4 dan sin 15 = (√6 – √2) / 4 … Transcript. a si tu cu transformarea sumei in produsgasesti formula pe neteu n-am invatat-o niciodata si am promovat bine mersinu o sa itidea la BAC asa cevasau faci cu sin (45-30)+sin(45+30) astase face mai usor si dac ar trebuisa o fac far acces la formule , pe calea asta as merge Sin15, Sin75, Cos15, Cos75, Sin18, Sin36, Sin54, Sin72, Cos18, Cos36, Cos54, Cos72 trigonometrik değerleri tablodadır (nedir). Start Test. sin 15° = cos 75° =. Tap for more steps √2 + √6 4 ⋅ √6 + √2 4 Multiply √2 + √6 4 ⋅ √6 + √2 4. The value of cos15∘ +sin15∘ cos15∘ −sin15∘ is.cos 15° = t 2. ∴ sin 15° = (√3−1)/2√2. Apply the difference of angles identity.5 D. Start with the definition of cotangent as the inverse b. Let's see how we can do that step by step.0( etanidrooc-y eht slauqe seerged 57 fo nis ehT . cos 15° = sin 75° =.2.) Not the exact question you're looking for? Post any question and get expert help quickly. sin(45−(30)) sin ( 45 - ( 30)) Apply the difference of angles identity. Given: Expression = sin75° + cos15° Concepts used: sin (A + B) = sinA cosB + cosA sinB Calculation: ⇒ sin75° + cos15° = sin75° +.H. Ask Unlimited Doubts; Video Solutions in multiple languages (including Hindi) Video Lectures by Experts; Free PDFs (Previous Year Papers, Book Solutions, and many more) Attend Special Counselling Seminars for IIT-JEE, NEET and Board Exams; Login +91.2 Systems of Linear Equations: Three Variables; 9. Question 3: Find the value of sin(120°) Solution: We can write 120° as (180° - 60°), So, sin(120°) = sin(180° - 60°) ⇒ sin 15° + sin 75° = sin 15° + cos 15° = t. Jawaban terverifikasi. Now, sin75∘ sin15∘ = sin75∘ cos(90∘ −15∘) = sin75∘ cos75∘, = tan75∘ = tan(45∘ + 30∘), = tan45∘ +tan30∘ 1 − tan45∘tan30∘, = 1 + 1 √3 1 − 1 √3. Step 2. Rewrite given expression as a sum or difference, then simplify if possible. Evaluate: cos 15 ° sin 15 ° sin 75 ° cos 75 ° Q. sin(30+45) sin ( 30 + 45) Apply the sum of angles identity. cos 15° . I don't know how to combine trigonometric ratios to equivalencies. Step 6. A concise two-deep answer would be preferred, and other simplifications are also welcomed. Textbook Solutions 13653. Click here:point_up_2:to get an answer to your question :writing_hand:find the answer sec 2 10 cot 2 80cfrac sin 15 cos. sin(45−30) sin ( 45 - 30) Separate negation. Tap for more steps Step 1. We have to convert the associative angle using other formulas to simplify it.9659 (approx). cos 75° - sin 15° . So, sin45 + sin15 = √2 + √2 − √3 2. Step 5.$ As we know from above that sin 75 = (√3+1)/2√2 and cos 75 = (√3-1)/2√2, so we get that . 20 Ques. 즉 합이 90도가 되는 두 각도의 사인값과 코사인 값은 각각 같다는 이야기죠. Download Solution PDF. Introduction to Systems of Equations and Inequalities; 9. This year, SSC completely changed … Calculati sin 15° + sin 75° - 4066098.elbisop setna ol nóicautis al avleuser euq arap IBF la anoiserp nóicceleer us rop odapucoerp rodanes nu y xilfteN ed latnemucod eires aveun anu arap oidosipe nu abarg ejador ed opiuqe nu ,daduic al ne necerapa ergnas ed sodaicav y adiv nis sopreuc sorto sartneiM € 57 ,12 € 57,12 soL )% 5( € 51,1 :arrohA 2 t = °51 soc. The exact value of is . cos 15° cos 75° - sin 15° sin 75° 4.ot lauqe si ,°09 θ °0 ,θ 2ces θ nis 2 + θ 2nat 2 + 1 . Agriculture MCQ Statistics MCQ. Tonton video. Using the trigonometric identity, cos 90° = 0 Evaluate: ∣ ∣ ∣ Cos 15 ∘ Sin 15 ∘ Sin 75 ∘ Cos 75 ∘ ∣ ∣ ∣ . Find the Exact Value sin(15) Step 1. 2cos^2 (15)-1. sin 15° Multiply and divide by 2, we get = 1 2 2. Step 8. sin 15° = sin (45° – 30°) = sin 45° cos 30° – cos 45° sin 30° = 1/√2 × √3/2 −1/√2 × 1/2 = 1/√2 ( (√3 − 1)/2) = (√𝟑 − 𝟏)/ (𝟐√𝟐) Next: Example 12 → Ask a doubt. Doubtnut is No. Split into two angles where the values of the six trigonometric functions are known.26179 . Follow answered Jun 16, 2021 at 13:46. The Tier-1 Examination was conducted from 14th July 2023 to 27th July 2023. =sin (30°+45°). sin 15° = cos 75° = 와 . $$ Stack Exchange Network Stack Exchange network consists of 183 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to … Sin 15 degrees is the value of sine trigonometric function for an angle equal to 15 degrees.22474487139158904 View solution steps Factor 214⋅51717⋅29⋅137⋅509⋅445318127 = 1 125000000000000002809310892394864 ≈ 1. Science Anatomy & Physiology Astronomy Astrophysics Biology Chemistry Simplify (sin 75^(@)-sin 15^(@))/(cos 75^(@)+cos 15^(@)) 03:25. ., in EXACT form Values of sin 15, cos 15, tan 15. sin 15° Multiply and divide by 2, we get = \(\dfrac 12\) 2. … Simultaneous equation. sin 15 = sin 30 2 = 1 − cos 30 2− −−−−−−−−√ = 1 − 3√2.71 How to solve Using angle sum and difference identities, we can calc… cos(15)cos(75) - sin(15)sin(75) Simplify each term.5 D. . Step 5. Nilai eksak dari adalah . Step 1. sin 75°: Now using the formula for the sine of the sum of 2 angles, sin ( A + B) = sin A cos B + cos A sin B, we can find the sine of (45° + 30°) to give sine of 75 degrees. The formula states that sin(A− How to find the value of cos 15° - sin 15° using trigonometric formulas? Learn the solution and the concept behind it with BYJU'S, the best online learning platform for maths and science.224744871 Quiz Trigonometry sin(75)+sin(15) Share Copy Examples Quadratic equation x2 − 4x − 5 = 0 Trigonometry 4sinθcosθ = 2sinθ Linear equation y = 3x + 4 Arithmetic 699 ∗533 Matrix To find the value of sin 75 degrees using the unit circle: Rotate 'r' anticlockwise to form a 75° angle with the positive x-axis. Hence the value of sin 75° = y = 0.22474487… The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan). Chapter 3 Class 11 Trigonometric Functions. These formulas can be derived from the product-to-sum identities. Tap for more steps 1 4 - 1 4. In this solution the following will be strictly adhered to: 1. Find the Exact Value sin (15 degrees ) sin(15°) sin ( 15 °) Split 15 15 into two angles where the values of the six trigonometric functions are known. Terapkan identitas beda sudut. Q 5. sin(45)cos(30)−cos(45)sin(30) sin ( 45) cos ( 30) - cos ( 45) sin ( 30) 解答过程如下:.500000 sin(45)=0.So this won't get us the answer. cos 15° = sin 75° = 입니다.2588 + 0. Question: Find the value of sin 75 cos 75. #sin(A-B)=sinAcosB-cosAsinB# We might notice that #75-60=15# so #sin15^@=sin(75^@-60^@)=sin75^@cos60^@-cos75^@sin60^@#. sin(75) + sin(15) = sin(45 + 30) + sin(45 – 30) We know that, sin(A + B) = sinA. Karnataka Board PUC PUC Science 2nd PUC Class 12. Textbook Solutions 24549.1. sin 15°. sin 75° + sin 15° = 2 sin 90° sin 60° O B. The left rope hangs from the left wall at 50 degrees from the wall.. Click here👆to get an answer to your question ️ Prove that sin 75^∘ - sin 15^∘ = cos 105^∘ + cos 15^∘ . 0. = 1/2 √2 . ⇒ sin(75) + sin(15) = … Find the Exact Value sin(75)+sin(15) Step 1. Download Solution PDF. These ratios help us in finding angles and lengths of sides of a right triangle. Sum formula for cosine. 2. 1、sin15°. Apply the difference of angles identity.0=)51(nis 000000. Hence the value of sin 15° = y = 0. Exams SuperCoaching Test Series Skill Academy. M. Step 3. 9. Similar Questions. O A cos 75° cos 15º - sin 75° sin 15º = cos (75° -15°) cos 60° B. . Evaluate the Following Determinant: ∣ ∣ ∣ Cos 15 ∘ Sin 15 ∘ Sin SSC CGL Result Out on 6th December 2023. For example, with a few substitutions, we can derive the sum-to-product identity for sine. The exact value of is . Add and . Ketuk untuk lebih banyak langkah √6 2.893997 but this table is wrong when I checked it with the standard table. Tap for more steps (√2 + √6)(√6 + √2) 16 Here is another Method to prove the Result : Observe that the Exp. Replace A by 15° and B by 75°. Chapter 3 Class 11 Trigonometric Functions. I want this answer: SINE TABLE : sin(0)=0. Cite. View Solution. .cosB – cosA. 8 C. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. $$ Then I got $$ (\sqrt{3}-2) \sin(15^°) = \cos(15^°).2. Co-ordinate geometry. 01:58. sin 75° + sin 15° = 2 sin 45° cos 30° OD.2. Dalam menghitung 2 sin 75 sin 15, kita mentransformasikan sin 75 dan sin 15 menjadi ekspresi matematika yang lebih sederhana dan akurat. sin (90° + x) - sin (90° — 2) = 0.cos30 sin(75) + sin(15) Simplify each term. To find the value of sin 75 degrees using the unit circle: Rotate ‘r’ anticlockwise to form a 75° angle with the positive x-axis. The value of sin^2 5° + sin^2 10° + sin^2 15° + … + sin^2 85° + sin^2 90° is A. oblicz sin75° sellinka: Posługując sie wzorem sin (α +β)= sinαα ×cosβ + cosα × sinβ oblicz sin 75 stopni. Tentukan nilai dari 2sin 75cos 15. Mahasiswa/Alumni Institut Teknologi Sepuluh Nopember Surabaya. We have to convert the associative angle using other formulas to simplify it. Step 1. = 1/4 ( √6 + √2 ) Demikianlah contoh-contoh soal trigonometri dan pembahasannya. Jika anda membutuhkan rumus-rumus singkatnya, anda bisa Consider a equilateral triangle bisected: From this we see: #cos 60^@ = "adjacent"/"hypotenuse" = 1/2# #sin 30^@ = "opposite"/"hypotenuse" = 1/2# Find the Exact Value sin(15)cos(15) Step 1. Here, we have to find the value of cos 75° cos 15° - sin 75° sin 15°. TCS Numerical Ability Question Solution - Find the value of sin 75° + sin 15° = ? or. 와. Click here👆to get an answer to your question ️ Prove that 2sin 75^o sin 15^o = 12. T 1,T 2, and T 3 are the (positive) magnitudes of the tension force in each string. sin(30+45) sin ( 30 + 45) Apply the sum of angles identity. Then, Evaluate the following and justify your answer. Domain and Range of Trigonometric Ratios. Step 8.9659) 2 This video works to determine the exact value for the sine of 15 degrees in two different ways: using the difference formula for sine and using the half-angl The values of the given problems are: sin(75°) + sin(15°) ≈ 1. Tonton video. În prima lună s-au realizat 21 936 bilete, iar în a doua lună de 3 ori mai puţ … Today's Puzzle. Tap for more steps √2 + √6 4 + √6 - √2 4 Simplify terms. Tìm Giá Trị Chính Xác sin (75 độ ) sin(75°) sin ( 75 °) Chia 75 75 thành hai góc trong đó các giá trị của sáu hàm lượng giác cơ bản đã biết.9659) 2 This video works to determine the exact value for the sine of 15 degrees in two different ways: using the difference formula for sine and using the half-angl The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan).cosB - cosA. Tap for more steps 1 1 Answer (Detailed Solution Below) Option 3 : √ (3/2) Free Tests View all Free tests > Free SSC CGL: Full Mock Test 4.3, 5 (ii) → Ask a doubt. or, sin 15° – cos 15° = – √2/2. (sin75度+cos75度)/ (sin75度-cos75度)=√6/2 / √2/2=√3. nilai sin 15° + sin 75° per cos 15° - cos 105° adalah. Trig Functions are FUNCTIONS and proper functional notation should always be used. 12 Maret 2022 07:33. =sin (45°-30°). Dengan menggantikan nilai sin 75 = (√6 + √2) / 4 dan sin 15 = (√6 - √2) / 4 ke dalam Transcript.. Limits. To calculate the sine of a half angle sin (x/2), follow these short steps: Write down the angle x and replace it within the sine of half angle formula: sin (x/2) = ± √ [ (1 - cos x)/2]. (3) and (4) we get, 2 sin 15° = √(1 + ½) – √(1 – ½) 2 sin 15° = (√3−1)/√2. Nilai eksak dari adalah .5 Matrices and Matrix Operations; 9. (i) sin215 +sin275 cos236 +cos254. MCQ Online Mock Tests 43. ⇒ sin(15°) = cos(75°) sin 15° = cos 75° =. You can obtain the values from a table and then work out the arithmetic. 421 2 2 silver badges 14 14 bronze badges Trigonometry Examples. Shortcuts & Tips.1 Systems of Linear Equations: Two Variables; 9. Ex 3. the SSG has released the revised result for the exam held on the 26th and 27th of October 2023. 1) A mass of m=10−kg hangs by the combination of ropes shown in the figure. Click here:point_up_2:to get an answer to your question :writing_hand:find the value of … The value of the expression $2{{\left( \sin 15+\sin 75 \right)}^{2}}$ is 3. 17 mar 13:12.Previous video in this series: video in this series: Once you know the general form of the sum and difference identities then you will recognize this as cosine of a difference. Maths Tricks.Find the value of sin75 ° + sin15 ° Solution: sin (75) + sin (15) = sin (45 + 30) + sin (45 - 30) We know that, sin (A + B) = sinA. Example 4.