9k points) trigonometry; The angles of a triangle are (x − 40)°, (x − 20)° and 1 2 x-10 °. 1. = cos 40 o + cos 50 o + cos 70 o + cos 80 o = cos 70 o + cos 50 o + cos 80 o + cos 40 o. cos80=2.com Step by step video & image solution for Prove that cos 20^(@) cos 40^(@) cos 80^(@) = (1)/(8).srotaluclaC . Answer. Since the cosine function is a periodic function, we can represent cos 80° as, cos 80 degrees = cos (80° + n × 360°), n ∈ Z. cos 40. Dessa forma, calcula-se: Por: Raul Rodrigues de Oliveira Q.+ tan160 + tan180 câu hỏi 6090608 - hoidap247.1736481. Click here👆to get an answer to your question ️ Prove that: cos 20^∘ cos 40^∘ cos 80^∘ = 18.$$ How can I proceed further? 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 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. cos80=2.961262 cos(17°) = 0.cos60. -1/2 Use app ×. (vii) sin 10° sin 50° sin 60° sin 70° = 3 16. Nilai dari 20cos20ºcos40ºcos80ºadalah ⋯. C) 2. 浅写个妙法。 题目等价于证明: cos40°+cos80°+cos160°=0 三倍角公式: cos3x=4cos^{3}x-3cosx 在上式中令 x=40°,80°,160°,有cos3x=-\frac{1}{2}. cos 40. CBSE Commerce (English Medium) Class 11. = cos 20 ° × cos 40 ° × cos 80 ° Multiplying and dividing by 2 = 1 2 ( 2 cos 20 ° × cos 40 ° × cos 80 °) We know that, 2 cos a cos b = cos a + b + cos a - b = 1 2 cos 20 ° + 80 ° + cos 20 ° - 80 ° cos 40 ° = 1 2 cos 100 ° + cos - 60 °. I have found it in the calculator in said $\sec(40°)·\sec(80°)·\sec(160°) = -8. Free math problem solver answers your trigonometry homework questions with step-by-step explanations. 在上式中令 x=40°,80°,160°,有cos3x=-\frac {1} {2} 所以 cos40°,cos80°,cos160° 是方程 4x^ {3}-3x+\frac {1} {2}=0 的三个根. (d) 4 tan 6x. Similar Questions.965926 cos(16°) = 0. b) cos10 0 + cos 20 0 + cos 30 0 + …. sin 70 0 = cos 20 0; sin 60 0 = cos 30 0; sin 50 0 = cos 40 0. 例子:sin40°=2sin20°cos20°、sin80°=2sin40°cos40°、sin(π-20°)=sin20°、cos40°=cos²20°-sin²20°。 参考资料来源: 百度百科-三角函数公式 本回答被网友采纳 cos 20 cos 400 cos 80 = Tonton video. cos α + cos β = 2 cos ( α + β 2) cos ( α − β 2) In this math problem, α = 40 ∘ and β = 80 ∘. cos 40.sin 20 10(2sin 20. cos80= 2xsin20 sin40. Since cosine function is positive in the first quadrant, thus cos 80° value = 0.1- . 01:57. Linear equation. (vi) tan 20° tan 30° tan 40° tan 80° = 1. Study Materials. Simultaneous equation. Concept: 2 sin x. cos40. Find the value of cos 20 . C. Cost( Solve your math problems using our free math solver with step-by-step solutions. cos 40. Was this answer helpful? 5. Login. Formula to be used: We know that 2 sin A sin B = cos A pada saat ini kita diminta Tentukan nilai dari cos 40 derajat ditambah cos 80 derajat + cos 160 derajat yang di sini tertulis rumus yang dapat kita gunakan untuk menyelesaikan soal ini sekarang kan kita kan terus kembali terlebih dahulu ya soalnya yaitu cos 40 derajat ditambah cos 80 derajat + cos 160 derajat kemudian kita akan kerjakan cos 40 derajat ditambah cos 80 derajat terlebih dahulu The value of cos 20^(@) cos 40^(@)cos 60^(@) cos 80^(@) is equal to. (ii) cos 40° cos 80° cos 160° = - 1 8. (iv) cos 20° cos 40° cos 80° = 1 8. Step-2 : Evaluating sin 20 ° sin 40 ° sin 80 °. Download Solution PDF. = 4 ⋅ cos (20 ∘ + 40 ∘) + cos (20 = 2 ⋅ 1 2 + cos (20 ∘) sin 2 (80 ∘) = 1 + cos (20 ∘) sin 2 (80 ∘) = 2 cos 2 10 o sin 2 80 o = 2 sin 2 80 o sin 2 80 o = 2. Download Solution PDF. Question 5: If tan θ tan 40 HSSC Fire Operator Driver Indian Air Force Apprentice Indian Navy Driver.978148 cos(13°) = 0. Guides. 이를 일반화시키면 다음과 같다. cos 20 cos 40 cos 80 = 1/ 8. We know the identity $$\cos^2 x - \sin^2 x = \cos 2x \tag {1}$$ and $$\cos A - \cos B = 2\cos \frac {A+B}{2} \cos \frac {A-B}{2} \tag {2} $$ We have $$(\cos^2 20 Solution L. Explanation: We know that, cos 60° = 1/2 By substituting in the LHS = cos 20°· cos40°· cos60°.945519 cos(20°) = 0.) 2sin40. Then the equality to prove becomes: = sin 40 2 sin 20 cos 40 cos 80 cos 60 = sin 80 ∘ 4 sin 20 ∘ cos 80 A. ⇒ cos 80° = cos 440° = cos 800°, and Step by step video & image solution for if sin2 A = 2sin A cosA and sin 20^@ = K, then the value of cos 20^@ cos 40^@ cos 80^@ cos 160^@- by Maths experts to help you in doubts & scoring excellent marks in Class 10 exams.000 tentukan harga tiga baju dua kaos.) 2sin20.. (ii) cos 40° cos 80° cos 160° = - 1 8.984808 cos(11°) = 0. Substitute them and simplify the trigonometric expression. Join / Login. Q.996195 cos(6°) = 0. (viii) sin 20° sin 40 Prove that:(i) cos 10° cos 30° cos 50° cos 70° = 3 16(ii) cos 40° cos 80° cos 160° = - 1 8(iii) sin 20° sin 40° sin 80° = 3 8(iv) cos 20° cos 40° cos 80° = 1 8(v) tan 20° tan 40° tan 60° tan 80° = 3(vi) tan 20° tan 30° tan 40° tan 80° = 1(vii) sin 10° sin 50° sin 60° sin 70° = 3 16(viii) sin 20° sin 40° sin 60° sin Ikut Bimbel online CoLearn mulai 95. cos80 . Math for fun, cos (20)cos (40)cos (80)=? No calculator, of course! This is actually called Morrie's Law, Linear equation Arithmetic Matrix Simultaneous equation Differentiation Integration Limits Solve your math problems using our free math solver with step-by-step solutions. cos 20^(@)* cos 40^(@) * cos 60^(@) * cos 80^(@) = 05:14. + sin 2 80 0 (8 số hạng). Show that {eq}\cos(20) \cos(30) \cos(40) \cos(80) =\dfrac{\sqrt{3} }{16} {/eq} Some Formulas of the Cosine Function. (v) tan 20° tan 40° tan 60° tan 80° = 3. cos 100 °) Math for fun, cos(20)cos(40)cos(80)=? No calculator, of course!This is actually called Morrie's Law, for Linear equation Arithmetic Matrix Simultaneous equation Differentiation Integration Limits Solve your math problems using our free math solver with step-by-step solutions. Verified by Toppr. = 2 cos ( 40 ∘ + 80 ∘ 2) cos ( 40 ∘ - 80 ∘ 2) + cos 160 ∘. = 2 cos ( 40 ∘ + 80 ∘ 2) cos ( 40 ∘ – 80 ∘ 2) + cos 160 ∘. Last updated on Mar 31, 2023 The RRB NTPC Notification 2024 is expected to be released soon.°08 soc ⨯ °06 soc ⨯ °04 soc ⨯ °02 soc ,oS . Share on Whatsapp India’s #1 Learning Platform Start Complete Exam Preparation Daily Live MasterClasses. Trigonometry (MindTap Course List) Trigonometry. Find the value of x and y if the median for the following data is 31 Show that cos 40+cos80+cos160=0 - 222302. cos 40 ·cos 60 . Jawaban terverifikasi. B.000 sedangkan satu baju tiga kaos adalah 189.cos80 (all angles are in degree measure) View Solution. cos 80 all angles are in degree measure. Similar Problems from Web Search. ∴ The value of cos 20° ⨯ cos 40°⨯ cos 80° is 1/8. cosec 31°. by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams. Class 10 MATHS QUESTION BANK. Concept: Transformation Formulae Jika mendapat soal seperti ini maka penyelesaiannya adalah disini terdapat soal cos 20 derajat cos 40 derajat cos 80 derajat adalah bernilai kita bisa menggunakan rumus perkalian cos yaitu 2 cos a cos B akan menjadi cos a + b ditambah dengan cos A min b. Login.cos(−20)+(−cos20)+(−cos60)∵ cosC+cosD = 2cos( C+D 2). asked Oct 6, 2020 in Trigonometry by Chandan01 (51.cos 20. cos x = sin 2x Calculation: Let, x = 8 cos 10° ⋅ cos 20° ⋅ cos 40° Now, multiplying both sides by sin 10&d. The cosine function is an essential trigonometric function used in mathematics. The value of s i n 50 Prerequisite.S.com Hoidap247.8 3 = °08 nis °04 nis °02 nis )iii( . Register; Test; JEE; NEET; Home; Q&A = cos 20° - (cos (40° + 20°) + cos (40° - 20°)) = cos 20° - (cos 60° + cos 20°) = - cos 60° = - 1/2 (Ans) ← Prev Question Next Question Biểu thức A = cos 20 0 + cos 40 0 + cos 60 0 + + cos 160 0 + cos 180 0 có giá trị bằng: A. Taking the left hand side and multiplying it up and down by $\sin 20$ yields: \begin = 1 4 cos 20 ° + 80 ° + cos 20 Therefore, it is proved that cos 20 ° · cos 40 Solve cos (20)*cos (40)*cos (60)*cos (80) | Microsoft Math Solver Solve Evaluate View solution steps Quiz Trigonometry 5 problems similar to: Similar Problems from Web Search Share Examples Quadratic equation Trigonometry Solution L H S = cos 20 ∘ cos 40 ∘ cos 80 ∘ = 1 2 [ 2 cos 20 ∘ cos 40 ∘] cos 80 ∘ = 1 2 [ cos ( 20 ∘ + 40 ∘) + cos ( 20 ∘ − 40 ∘)] cos 80 ∘ = 1 2 [ cos 60 ∘ + cos ( − 20 ∘)] cos 80 ∘ = 1 2 cos 80 ∘ [ 1 2 + cos 20 ∘] = 1 4 c o s 80 ∘ + 1 2 cos 80 ∘ cos 20 ∘ = 1 4 cos 80 ∘ + 1 4 [ 2 cos 80 ∘ cos 20 ∘] Answer: It's proved that cos 20° · cos40° · cos60°. But $8z^4=z\cdot8z^3=z(6z+1)$ per the previous equation, so $\cos 80^\circ = -2z^2+z+1\,$. Diện tích tam giác ABC bằng bao nhiêu. cos105cos 45 -sin105 sin 45 = bila f1 = 5 per 2 tadi kita misalkan telah dengan yang ini tadi kita peroleh ternyata untuk nilai dari 20 * cosinus 20 derajat * 40 derajat * cosinus 80 itu = 5 per 2 sampai jumpa di pertanyaan $$\cos 20^\circ cos 40^\circ cos 80^\circ$$ ↑をなぜ解こうと思ったのかについてであるが,理由は2つある. Login. The SSC CGL Eligibility is a bachelor's degree in the concerned discipline. dua baju dan satu kaos adalah 170.945519 cos(20°) = 0. cos 20 ∘). Download Solution PDF. Jawaban : 1/16 Konsep : Trigonometri Ingat bahwa : sin 2x = 2sin x cos x cos x = sin 2x / 2 sin x Dengan demikian; cos 20° cos 40° cos 60° cos 80° = (sin40°/2sin20°) (sin80°/2sin40°) (sin120°/2sin60°) (sin160°/2sin80°) = (1/2sin20°) (1/2) (sin120°/2sin60°) (sin160°/2) = (sin120 By the double angle formula $\cos 40^\circ = 2 z^2 - 1\,$ and $\cos 80^\circ = 2(2z^2-1)^2-1=8z^4-8z^2+1\,$.cos 80°----- Tính giá trị của biểu thức M= cos10° × cos 20° ×cos 40°×cos 80° Giúp mình vs ak mình đg cần gấp câu hỏi 929814 - hoidap247.com - Hỏi đáp online nhanh chóng, chính xác và luôn miễn phí Morrie's law is a special trigonometric identity. We know that. However, multiples of 10 degrees cannot be Tính: a) sin 2 10 0 + sin 2 20 0 + sin 2 30 0 + …. SEE MORE TEXTBOOKS. cos (20)cos (40)cos (80) Upgrade to ProContinue to site. Jawaban terverifikasi. 1/2 D.965926 cos(16°) = 0. dua baju dan satu kaos adalah 170. Hence, $\sin x = \cos \left ( { { {90}^ \circ } - x} \right)$. cos 80 ∘ = 1 4 [ cos ( 40 ∘ + 20 ∘) + cos ( 40 ∘ - 20 ∘)].987688 cos(10°) = 0. B) 1. cosec 10° + 2 cos 59° . Gelfand [in English].994522 cos(7°) = 0. cos α + cos β = 2 cos ( α + β 2) cos ( α − β 2) In this math problem, α = 40 ∘ and β = 80 ∘. O sin 120 O cos 40° cos 120° O sin 40° cos (40). cos 80° = cos 20 ∘. Integration. NCERT Solutions. सिद्ध कीजिए की Adım adım açıklama: cos 20. Q1. প্রমাণ করো:cos20^(@)cos40^(@)cos80^(@)=1/8.951057 cos(19°) = 0.994522 cos(7°) = 0.(厨二病を拗らせた…) Prove that: (i) cos 10° cos 30° cos 50° cos 70° = 3 16 (ii) cos 40° cos 80° cos 160° = -1 8 (iii) sin 20° sin 40° sin 80° = 3 8 (iv) cos 20° cos 40° cos 80° = 1 8 (v) tan 20° tan 40° tan 60° tan 80° = 3 (vi) tan 20° tan 30° tan 40° tan 80° = 1 (vii) sin 10° sin 50° sin 60° sin 70° = 3 16 (viii) sin 20° sin 40° sin 60 Rút gọn biểu thức D= cos20 + cos40 + cos60 ++ cos160 + cos180 Giúp mik bài này vớiii ạ cảm ơn! câu hỏi 748326 - hoidap247. cos 40. cos 20 cos 400 cos 80 = Tonton video.H. cos(5°) = 0. Morrie's law는 k=3, x=20도인 경우이다.) 2sin20. NewGeometry. Resolução: Alternativa A. cos40. answered Mar 8, 2020 by If cos40° = p, then write the value of sin 40° in terms of p. Tentukan nilai dari soal-soal berikut ini a. Prove that:(i) cos 10° cos 30° cos 50° cos 70° = 3 16(ii) cos 40° cos 80° cos 160° = - 1 8(iii) sin 20° sin 40° sin 80° = 3 8(iv) cos 20° cos 40° cos 80° = 1 8(v) tan 20° tan 40° tan 60° tan 80° = 3(vi) tan 20° tan 30° tan 40° tan 80° = 1(vii) sin 10° sin 50° sin 60° sin 70° = 3 16(viii) sin 20° sin 40° sin 60 cos ⁡ 2 0 ∘ cos ⁡ 4 0 ∘ cos ⁡ 8 0 ∘ = 1 8 \cos 20^{\circ}\cos 40^{\circ} \cos 80^{\circ}=\dfrac{1}{8} cos 2 0 ∘ cos 4 0 ∘ cos 8 0 ∘ = 8 1 オイラーの公式とほぼ同じような計算で証明できます。 Click here:point_up_2:to get an answer to your question :writing_hand:prove that sin 40 circ cos 70 circ.2 m from the ground. (iii) sin 20° sin 40° sin 80° = 3 8. cos80= 2xsin20 sin40. (vi) tan 20° tan 30° tan 40° tan 80° = 1. Prove that: (i) cos 3 A + cos 5 A + cos 7 A + cos 15 A = 4 cos 4 A cos 5 A cos 6 A.996195 cos(6°) = 0. NCERT Solutions For Class 12 Physics; NCERT Solutions For Class 12 Chemistry; NCERT Solutions For Class 12 Biology; [cos(20°+40°)+cos(20°-40°)]cos80° Prove That: Cos 80° + Cos 40° − Cos 20° = 0 .+cos180 B= tan20 + tan40 + tan 60 +. Jadi disini kita akan pasangkan cos 80 dengan cos 20 sehingga 4 cos 80 cos 20 cos 40 menjadi 4 kali setengah cos a + b 80 + 20 menjadi 100 + cos A min b 80 min 20 jadi cos 60 kemudian ini kita Sederhanakan 4 kali setengah jadi 2 dan cos 60 adalah tengah The only way I can show $$\cos(20^\circ)\cos(30^\circ)\cos(40^\circ)=\cos^2(10^\circ)\cos(50^\circ)$$ stinks of sweat and brute force: If $\cos(10^\circ)=x$ then using $\cos(a+b) = \cos a \cos b - \sin a \sin b$ and $\cos^2 + \sin^2 = 1$ you get $$ \cos(20^\circ) = 2x^2-1\\ \cos(30^\circ) = 4x^3-3x \\ \cos(40^\circ) = 8x^4-8x^2+1\\ \cos(80^\circ) = 128x^8-256x^6+160x^4-32x^2+1 $$ Then $$ \sin Master Teacher. cos 80= x (Her iki taraf 2sin20 ile çarpılır.+ cos 180 0 ( 18 số hạng). Đáp án.939693 cos(21°) = 0. Hours(200)=cost\nC. (iv) cos 20° cos 40° cos 80° = 1 8. The angle of elevation of the balloon from the eyes of the girl at any instant is 60°. M. ある朝、240人の行列ができていたので、3つの入り口から入園させたところ、8時20分に行列がなくなりました。 別の朝、300人の行列ができていたので、4つの入リ口から入園させたところ、8時15分に行列がなくなりました。 $$\frac{\sin^2(20)}{\sin(140)\sin(80)} = \frac{\cos(80)}{\cos(20)}$$ Any help or hints will be appreciated. Similar Questions. Solve Study Textbooks Guides. सिद्ध कीजिए की Adım adım açıklama: cos 20.(厨二病を拗ら … LHS = \(\cos20° \cos40°\cos 80°\) \(= \frac 12[2\cos20° \cos40°]\cos80°\) \(= \frac 12[\cos(20° + 40°) + \cos(20° - 40°)] \cos 80°\) \(= \frac 12 [\cos60 Prove that: (i) cos 10° cos 30° cos 50° cos 70° = 3 16 (ii) cos 40° cos 80° cos 160° = -1 8 (iii) sin 20° sin 40° sin 80° = 3 8 (iv) cos 20° cos 40° cos 80° = 1 8 (v) tan 20° tan 40° tan 60° tan 80° = 3 (vi) tan 20° tan 30° tan 40° tan 80° = 1 (vii) sin 10° sin 50° sin 60° sin 70° = 3 16 (viii) sin 20° sin 40° sin 60 Rút gọn biểu thức D= cos20 + cos40 + cos60 ++ cos160 + cos180 Giúp mik bài này vớiii ạ cảm ơn! câu hỏi 748326 - hoidap247. (ii) cos 40° cos 80° cos 160° = - 1 8. Share on Whatsapp India's #1 Learning Platform Start Complete Exam Preparation Daily Live MasterClasses.

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cos 40 ∘. cos 60. cos40.125 0. 由 韦达定理 , cos40°+cos80°+cos160°=0. Prove that: (i) cos 10° cos 30° cos 50° cos 70° = 3 16. Prove that cos 20∘ cos40∘ cos60∘ cos80∘ = 1 16. Configure the relevant angles in the diagram and establish the followings.0. ∴ cos 20° cos 40° cos 80° = 1/8. As we all know, cos (60 - x) cosx cos (60 + x) = (1/4) cos3x. cos 80 all angles are in degree measure. 1つ目の理由は,単位円を駆使すればなんとか解けるだろうという安直な思いがあったのにうまくいかず悔しいと思ってしまったからだ. Advertisement. Class 11 MATHS TRIGONOMETRIC RATIOS AND IDENTITIES.com Hoidap247. Enjoy Maths. Use app 10° cos 30° cos 50° cos 70° = 3 16 (ii) cos 40° cos 80° cos 160° = -1 8 (iii) sin 20° sin 40° sin 80° = 3 8 (iv) cos 20° cos 40° cos 80° = 1 8 (v) tan 20° tan 40° tan 60° tan 80° = 3 Halo Roy, kaka bantu jawab pertanyaannya ya :) Jawabannya adalah C. Trigonometric ratios help us to calculate the sides of a right angled triangle with the help of a given angle and a given side. In the given question, we are required to prove the value of product $\cos {20^ \circ }\cos {40^ \circ }\cos {80^ \circ }$ using the To prove the equation sin^2 (20) + sin^2 (40) + sin^2 (80) = 3/2, we will use the trigonometric identity known as the double-angle formula.$ But how can I simplify the term to find the solution that is -8? How can I apply basic angles, say, $0°, 30°, 45°, 60°,$ or $90°$ for this? (Edit) I finally got it everyone. cos40. (vi) tan 20° tan 30° tan 40° tan 80° = 1.981627 cos(12°) = 0. Choose the correct answer below.97437 cos(14°) = 0. Publisher: Cengage Learning.. Answer: It's proved that cos 20° · … Trigonometry. Halo Tresyah, kaka bantu jawab ya. cos20. Q10.2x.0. cos 80 ifadesinin değeri bulmak için aşağıdaki işlemleri yapalım. The value of (sin 7x + sin 5x) / (cos 7x + cos 5x) + (sin 9x + sin 3x) / (cos 9x + cos 3x) is.978148 cos(13°) = 0.951057 cos(19°) = 0.93358 Untuk mengerjakan soal ini maka konsep yang perlu kita ingat adalah cos a cos B bisa kita Ubah menjadi setengah kali cos a + b + cos A min b.H.! Answer link Solution L. Similar Questions. E) 4. The RRB NTPC exam is conducted to fill up Non-Technical Popular Category posts. cos80= 2xsin20 (Her iki taraf 2 ile çarpılır.cos 20.956305 cos(18°) = 0.. We input 45 ° 45\degree 45° from our problem, and the moment we do that, the cofunction calculator will spit out the answer underneath: the cofunction along with the value. c) cos 315 0 + sin 330 0 + sin250 0 - cos 160 0. NCERT Solutions For Class 12. 题目等价于证明: cos40°+cos80°+cos160°=0.Feynman picked that name because he learned it during his childhood from a boy with the name Morrie Jacobs and afterwards remembered it for all of his life. 1つ目の理由は,単位円を駆使すればなんとか解けるだろうという安直な思いがあったのにうまくいかず悔しいと思ってしまったからだ. cos80= 2xsin20 (Her iki taraf 2 ile çarpılır. cos105cos 45 -sin105 sin 45 = bila f1 = 5 per 2 tadi kita misalkan telah dengan yang ini tadi kita peroleh ternyata untuk nilai dari 20 * cosinus 20 derajat * 40 derajat * cosinus 80 itu = 5 per 2 sampai jumpa di pertanyaan $$\cos 20^\circ cos 40^\circ cos 80^\circ$$ ↑をなぜ解こうと思ったのかについてであるが,理由は2つある. Solve. I've check other sources and they say to use Morrie's Law, however I have not actually learned it in the book. Primeiramente, utilizaremos a transformação em produto de cos 80° + cos 40°. Các hệ thức lượng trong tam giác và giải tam giác toán 10 5.987688 cos(10°) = 0. 01:42. Remember.e. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. (viii) sin 20° sin Hi, We know that , _____ Cos x cos ( 60 - x ) cos ( 60 + x ) = 1/4 cos 3x _____ Given , Cos 20 Cos40 Cos 60 Cos 80 = Cos 20 Cos 40 Cos 80 Cos 60 =[ Cos 20 Cos ( 60 - 20 ) Cos ( 60 + 20 )] Cos 60 = 1/4 × Cos ( 3 × 20 ) Cos 60 = 1/4 Cos 60 × Cos 60 = 1/4 × 1/2 × 1/2 = 1/ 16 I hope this helps you.961262 cos(17°) = 0. Jawaban terverifikasi. Matrix. ∴ The value of cos 20° ⨯ cos 40°⨯ cos 80° is 1/8. Morrie's law는 물리학자인 Richard Feynmann에 의해 이름 붙여진 성질이다. We commonly abbreviate the Hence, adding all the above gives $\cos^4 20 + \cos^4 40 + \cos^4 80 = \frac 9{8}$. Đáp án cần chọn là: B. SSC CGL Result Out on 6th December 2023.cos A = sin 2A sin (180 - A) = sin A Pembahasan Lankah awal kita misalkan bahwa hasilnya adalah suatu bilangan atau x, maka 20 cos 20.984808 cos(11°) = 0. Câu trả lời này có hữu ích không? jika kita melihat soal seperti ini maka cara penyelesaiannya adalah menggunakan konsep pengurangan cosinus dimana rumus Cos a dikurangi dengan cos B = minus 2 Sin a + b dibagi dengan 2 x dengan Sin a minus B dibagi dengan 280 sebagai nilai a dan 20 sebagai nilai B kemudian kita bisa langsung masukkan minus 2 Sin adalah 80 + dengan 20 / 2 x dengan Sin 80 dikurangi 20 dibagi dengan 2 = minus 2 Find the expression that is equivalent to sin 80° cos 40°+ cos 80° sin 40°. Q. It is asked in the section "Double the angle". Tam giác ABC có các trung tuyến ma= 15 mb=12 mc= 9 .125 Free math problem solver answers your algebra, geometry, trigonometry, calculus, … Trigonometry.0. cos 20 cos 40 cos 80 = 2 sin 20 cos 20 cos 40 cos 80 / 2 sin 20 ( Multiplying numerator & denomirator with 2sin 20) Q 5.5 01 náot cáig mat iảig àv cáig mat gnort gnợưl cứht ệh cáC . cos 20. cos 80 ∘ = 1 4 ( 1 2) cos 80 ∘ + 1 2 × 4 ( 2 cos 80 ∘ cos 20 ∘) LHS = \(\cos20° \cos40°\cos 80°\) \(= \frac 12[2\cos20° \cos40°]\cos80°\) \(= \frac 12[\cos(20° + 40°) + \cos(20° - 40°)] \cos 80°\) \(= \frac 12 [\cos60 Solution Verified by Toppr c o s 80 o + c o s 40 o − c o s 20 o = 2 c o s 80 o + 40 o 2 c o s 80 o − 40 o 2 − c o s 20 o ∵ cos C o + cos D o = = 2 cos ( C o + D o 2) cos ( C o − D o 2) = 2 c o s 60 o c o s 20 o − c o s 20 o = 0 Was this answer helpful? 0 Similar Questions Q 1 Prove that -- cos20°cos40° cos60° cos80° =1 View Solution Q 2 All three terms are cosine functions. 三倍角公式 : cos3x=4cos^ {3}x-3cosx. So, there is no problem to apply sum to product transformation identities. … 例子:sin40°=2sin20°cos20°、sin80°=2sin40°cos40°、sin(π-20°)=sin20°、cos40°=cos²20°-sin²20°。 参考资料来源: 百度百科-三角函数公式 本回答被网友采纳 Math for fun, cos(20)cos(40)cos(80)=? No calculator, of course!This is actually called Morrie's Law, for Prove that cos 20°· cos40°· cos60°. Q.id yuk latihan soal ini!Nilai dari 20 cos 20 cos ある朝、240人の行列ができていたので、3つの入り口から入園させたところ、8時20分に行列がなくなりました。 別の朝、300人の行列ができていたので、4つの入リ口から入園させたところ、8時15分に行列がなくなりました。 Tính A= cos10 + cos20 + cos30 +. = cos 20°. Q.. Which of the following best shows this in function notation?\nA. In summary, cos (40) cannot be expressed as a radical or combination of radicals. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Ask Unlimited Doubts; I understand the wizardry that $\cos 20^\circ \cos 40^\circ \cos 80^\circ=\dfrac18$ Proving it isn't that hard.992546 cos(8°) = 0.992546 cos(8°) = 0. Maharashtra State Board HSC Science (Electronics) 11th Standard. Adding $\cos^4 60 = \frac 1{16}$ gives the answer $\frac{19}{16}$. Do đó: sin 2 10 0 + sin 2 20 0 + sin 2 30 0 + …. cos 60 = 1/4 . Textbook Solutions 11871.2 m tall girl spots a ballon moving with the wind in a horizontal line at a height of 88. Selanjutnya untuk mendapat nilai cos a * cos b maka 2 ruas harus dikalikan setengah akan cos20°cos40° cos60° cos80° =1. Solution: 3 cos 80° × cosec 10° + 2 cos 59° × cosec 31° = 3 cos (90° - 10°) × cosec 10° + 2 cos (90° - 31°) × cosec 31° = 3 sin 10° × cosec 10° + 2 sin 31° × cosec 31° = 3 × 1 + 2 × 1 (since cosec θ = 1/sin θ) = 5. Prove the following: sin 20° sin 40° sin 80° = √3/8. The polynomial Z^9 - 1 can be factored to get (z^6+z^3+1) (z^3-1), with the former being easy to solve. Đáp án chính xác. We would like to show you a description here but the site won't allow us. For cos 80 degrees, the angle 80° lies between 0° and 90° (First Quadrant ). Visit Stack Exchange The value of the expression cos20∘cos100∘ +cos100∘cos140∘ −cos140∘cos200∘ is. 그가 어린 시절 Morrie Jacobs으로부터 배운 삼각함수의 곱의 성질에서 이름이 비롯되었다.Q . 04:02. Similar Questions.125 Click here👆to get an answer to your question ️ Prove that: cos 20^∘ cos 40^∘ cos 80^∘ = 18. Practice. 0. Solution for 12 Prove that sin 80 cos 0-sin 60 cos 30 a. sin 160 . Once we have that, we move to the variable field below, which contains the angle. Q 4. Ask Unlimited Doubts; Step by step video, text & image solution for The value of cos 20^ (@) cos 40^ (@)cos 60^ (@) cos 80^ (@) is equal to by Maths experts to help you in doubts & scoring excellent marks in Class 12 exams. Use app Login. + sin 2 80 Hint: The main approach we use in this question is that we will take the expressions one by one and simplify them. the SSG has released the revised result for the exam held on the 26th and 27th of October 2023. cos80^circ` = `1/4(cos60^circ + cos20^circ)cos80^circ` Step by step video, text & image solution for The value of cos 20^ (@) cos 40^ (@)cos 60^ (@) cos 80^ (@) is equal to by Maths experts to help you in doubts & scoring excellent marks in Class 12 exams. This year, SSC completely changed the exam pattern. Prove that: cos 80^0+cos 40^0-cos 20^0=0. tan 20 ° × tan 40 ° × tan 60 ° × tan 80 ° = sin 20 ° cos 20 ° × sin 40 ° cos 40 ° × sin 80 ° cos 80 ° × tan 60 ° ∵ tan θ = sin θ cos θ. For simplifying each expression we will just multiply and divide by whatever factor we might be needing for the expression to get converted into property of $2\sin A\cos A = \sin 2A$ , $2\cos A\cos B = \cos (A + B) + \cos (A - B)$ , or any other property related to trigonometry Click here👆to get an answer to your question ️ Show that - cos 40^∘ + cos 50^∘ + cos 70^∘ + cos 80^∘ = cos 20^∘ + cos 10^∘ . cos 80= x (Her iki taraf 2sin20 ile çarpılır. Free math problem solver answers your trigonometry homework questions with step-by-step explanations.125 Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.970296 cos(15°) = 0. Mở khóa để xem toàn bộ nội dung trả lời (?) Bạn đã đạt đến giới hạn của mình. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. cos 40.cos40. Answer. ISBN: 9781337278461. cos40. 8. Mock Tests & Quizzes. Trigonometric angle value is a collective term for values of different ratios, such as sine, cosine, tangent, secant, cotangent, and cosecant.Its name is due to the physicist Richard Feynman, who used to refer to the identity under that name. cos 20. 00:47. sin 20 => A = 1/16. Sorted by: 27. Share on Whatsapp. Find the value of x . Prove that c o s 20 ∘ c o s 40 ∘ c o s 60 ∘ c o s 80 ∘ = 1 16. Taking the left hand side and multiplying it up and down by $\sin 20$ yields: \begin Prove the following : cos 20° cos 40° cos 60° cos 80° = 116 .125 0. 2.已知A,B 均为钝角,且sin2 A 2 +cos A+ π 3 = 5-15 10 ,sin B= 10 10 ,则A+B 等于( ) cos ( 20°) cos ( 40°) cos ( 80°) = 1 8. Sum. Find the value of cos 20 . (iv) cos 20° cos 40° cos 80° = 1 8.If B joins A after some days and the whole work is com … Q. Share on Whatsapp Latest RRB NTPC Updates. Class 14 MATHS TRIGONOMETRIC RATIOS AND IDENTITIES. (iv) cos 20° cos 40° cos 80° = 1 8. Advertisement. This problem is found in "Trigonometry" by I. Concept Notes & Videos 127. 02:27.com - Hỏi đáp online nhanh chóng, chính xác và luôn miễn phí Morrie's law is a special trigonometric identity. Free math problem solver answers your trigonometry homework questions with step-by-step explanations. So, there is no problem to apply sum to product transformation identities. Prove that: cos 80^0+cos 40^0-cos 20^0=0. Solve your math problems using our free math solver with step-by-step solutions. The Tier-1 Examination was conducted from 14th July 2023 to 27th July 2023. cos 40°. Q 4. Was this Q.e. Question 20.981627 cos(12°) = 0. 发布于 2022-12-07 05:31 calcule o valor da expressÃo trigonomÉtrica cos 20°.956305 cos(18°) = 0. sin 80 . 1 Answer. The cost of a repair, which depends on the hours it takes to make the repair, is 200. 8. Standard XII. 00:47. Multiplying and dividing the equation by 2. cos 40°. 所以 cos40°,cos80°,cos160° 是方程 4x^{3}-3x+\frac{1}{2}=0 的三个根.A 1.

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Join / Login >> Class 11 >> Maths >> Trigonometric Functions >> Trigonometric Functions of Sum and Difference of Two angles I understand the wizardry that $\cos 20^\circ \cos 40^\circ \cos 80^\circ=\dfrac18$ Proving it isn't that hard. Find : cos 20^0cos 40^0cos 60^0cos 80^0. Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Study Materials. EDIT: After repeatedly using the double angle sin formula, I got this expression: $\frac{1}{8cos^2(20)cos(40)}$ cos(5°) = 0. D) 3. cos 40° cos 25° 1-sin 40° 的值为( ) A.1 B..cos 105 cos 1 Tonton video. Solution Consider LHS: cos 80 ∘ + cos 40 ∘ − cos 20 ∘ = 2 cos ( 80 ∘ + 40 ∘ 2) cos ( 80 ∘ − 40 ∘ 2) − cos 20 ∘ { ∵ cos A + cos B = 2 cos ( A + B 2) cos ( A − B 2) } = 2 cos 60 ∘ cos 20 ∘ − cos 20 ∘ = 2 × 1 2 cos 20 ∘ − cos 20 ∘ = cos 20 ∘ − cos 20 ∘ = 0 Hence, LHS = RHS. Practice Question Bank. 2 D.2 答案 C 解析 原式= cos220°-sin220° cos 25°(cos 20°-sin 20°) = cos 20°+sin 20° cos 25° = 2cos 25° cos 25° =2. (a) tan 6x. Solve. Prove that: (i) cos 10° cos 30° cos 50° cos 70° = 3 16. (v) tan 20° tan 40° tan 60° tan 80° = 3. Class 12 MATHS TRIGONOMETRIC RATIOS AND IDENTITIES. (v) tan 20° tan 40° tan 60° tan 80° = 3. All three terms are cosine functions.cos 80°----- Tính giá trị của biểu thức M= cos10° × cos 20° ×cos 40°×cos 80° Giúp mình vs ak mình đg cần gấp câu hỏi 929814 - hoidap247. The double-angle formula states that sin (2θ) = 2sin (θ)cos (θ). Groups Cheat Sheets. (ii) cos 40° cos 80° cos 160° = - 1 8. 1/8. 2. View Solution. Click here:point_up_2:to get an answer to your question :writing_hand:if x cos 10 circ cos 20 circ 4. Join / Login. (iii) sin 20° sin 40° sin 80° = 3 8. cos 80 ∘ + 1 4 cos 20 ∘. 0 B.) 2sin40. Prove that: (i) cos 10° cos 30° cos 50° cos 70° = 3 16.000/bulan. Author: Ron Larson. cos 80 = 1/2. ⇒ cos 20° ⨯ cos 40° ⨯ cos 80° = (1/4) × (1/2) = 1/8. cos40. NCERT Solutions For Class 12. Prove that -- cos20°cos40° cos60° cos80° =1. Textbook Solutions 7402 Important Solutions = `1/4[cos(40^circ + 20^circ) + cos(40^circ - 20^circ)]. Show that sin10∘+sin20∘+sin40∘+sin50∘ =sin70∘+sin80∘. cos 80 . 3 C. cos20. What are the 3 types of trigonometry functions? The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan). 1/2 = 1/16. Notebook. cos 60 = 1/8 .0 = )°41(soc 73479. Limits. cos80° = 1/16.970296 cos(15°) = 0.sin 40 . Our … Exact Form: cos(20)cos(40)cos(80) cos ( 20) cos ( 40) cos ( 80) Decimal Form: 0. Jawaban terverifikasi.! Answer link. The solution from WA for solving the equation involving cos (40) also gives solutions for cos (20) and cos (80). or. Question .sin20 sin80. Step-1 : Simplifying the above expression tan 20 ° tan 40 ° tan 60 ° tan 80 °. 5/2 Konsep : Trigonometri ingat bahwa 2sin A. (vii) sin 10° sin 50° sin 60° sin 70° = 3 16. (iii) sin 20° sin 40° sin 80° = 3 8. Using this formula, we can rewrite the left side of the equation as follows: sin^2 (20) + sin^2 (40) + sin^2 (80) Prove that cos 40 o + cos 50 o + cos 70 o + cos 80 o = cos 20 o + cos 10 o. Mathematics. ., cos ⁡ (x) \cos(x) cos (x), from the list. Solutions. Syllabus. I have been stuck for quite some time! Thank you in advance. 02:27. 0. =12×22cos20°×cos40°×cos80°. Differentiation. S. Nilai dari 20cos20ºcos40ºcos80ºadalah ⋯. Class 14 MATHS TRIGONOMETRIC RATIOS AND IDENTITIES.: $\sin(A + B) = \sin A \cos B + \cos A \sin B$, etc. Solve Study Textbooks Guides. (cos 20 0 + cos 160 0) + (cos 40 0 + cos 140 0) + + (cos 80 0 + cos 100 0) + cos 180 0 = 0 + 0 + …+ 0 + (-1) = - 1. Trigonometry.Feynman picked that name because he learned it during his childhood from a boy with the name Morrie Jacobs and afterwards remembered it for all of his life. cos40. (v) tan 20° tan 40° tan 60° tan 80° = 3.0. 1 C. a) Ta có: sin 80 0 = sin (90 0 - 10 0) = cos 10 0. सिद्ध कीजिए कि cos20^(@)cos40^(@)cos60^(@)cos80^(@)=(1)/(16). Download Solution PDF. cos80° of the equation we get, cos 20° · cos40° · (1/2) . ⇒ cos 60° × cos 20° ⨯ cos 40° ⨯ cos 80°. We know the identity $$\cos^2 x - \sin^2 x = \cos 2x \tag {1}$$ and $$\cos A - \cos B = 2\cos \frac {A+B}{2} \cos \frac {A-B}{2} \tag {2} $$ We have $$(\cos^2 20 Tam giác ABC có các trung tuyến ma= 15 mb=12 mc= 9 .000 tentukan harga tiga baju dua kaos. Substitute them and simplify the trigonometric expression.] as well as everything learned prior. 01:42. (vii) sin 10° sin 50° sin 60° sin 70° = 3 16. Prove That: Cos 80° + Cos 40° − Cos 20° = 0 - Mathematics.Its name is due to the physicist Richard Feynman, who used to refer to the identity under that name.000 sedangkan satu baju tiga kaos adalah 189. Moral : the inverse formulas are really helpful in problems involving multiples of numbers with "regularity" as I described above. ⇒ cos 60° × (1/4) × cos 60°. Guides. cos 40 ·cos 60 . Product to Su… Evaluate cos (20)cos (40)cos (80) (no calculator!) . सिद्ध कीजिए कि cos20^(@)cos40^(@)cos60^(@)cos80^(@)=(1)/(16). Share. cos 40 ° = 1 4 cos 40 ° + 1 2 ( cos 40 °. Q 3. H. Graphing. NCERT Solutions For Class 12 Physics; NCERT Solutions For Class 12 Chemistry; NCERT Solutions For Class 12 Biology; [cos(20°+40°)+cos(20°-40°)]cos80° Step by step video, text & image solution for The value of cos 20^ (@) cos 40^ (@)cos 60^ (@) cos 80^ (@) is equal to by Maths experts to help you in doubts & scoring excellent marks in Class 14 exams. cos80° = 1/16 Let us look into the explanation to understand the problem. cos80° ⇒ cos 20° ⨯ cos 40° ⨯ cos 80° = (1/4) × (1/2) = 1/8. Exact Form: cos(20)cos(40)cos(80) cos ( 20) cos ( 40) cos ( 80) Decimal Form: 0. Open in App. ABE: cos 20 = y 2 x = y 2x BGE: cos 40 = x 2 1 = x 2 ABC: cos … S=cos20°×cos40°×12×cos80°. cos 80 ∘ = 1 2 × 2 ( 2 cos 40 ∘. So, assume that I know the sin/cos angle additions [i. cos 40 ° = 1 2 cos 100 ° + 1 2. Mock Tests & Quizzes.02 nis = 02 nis. cos80° ⇒ (1/2) cos 20° · cos40°.com After applying product to sum formulae, I got this far $$\frac{\Bigl(1+2\cos(20)\Bigr)\Bigl(\cos(140)+\cos(20)\Bigr)}{8}=\frac{1}{16}. If α and β are distinct roots of a cos θ+b sin θ = c, Prove that sin(α+β) = 2ab a2+b2. It represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right-angled triangle. Tentukan nilai dari soal-soal berikut ini a. cos 80 = x Kemudian kalikan kedua ruas dengan sin 20, sehingga diperoleh bahwa : 20 sin 20.2x. Class 11 MATHS TRIGONOMETRIC RATIOS AND IDENTITIES. cos 40. Consider the given L. NCERT Solutions.[Math Processing Error] [Math Processing Error] [Math Processing Error] [Math Processing Error] [Math Processing Error] [Math Processing Error] Enjoy Maths.990268 cos(9°) = 0. cos 40°. Arithmetic. We know that, 2cosa×cosb=cosa+b+cosa-b. (c) 3 tan 6x.939693 cos(21°) = 0.sin20 sin80. (ii) cos A + cos 3 A + cos 5 A + cos 7 A = 4 cos A cos 2 A cos 4 A. Prove that: Step by step video, text & image solution for The value of cos 20^ (@) cos 40^ (@)cos 60^ (@) cos 80^ (@) is equal to by Maths experts to help you in doubts & scoring excellent marks in Class 14 exams. (29))2-8-2 cos(20)+1 cos(40) on sin48-(sin 2 θ)2 1 cos (20):3-2 cos (20) + 1 cos (40) cos (20)+cos (40) 2CoS (2e)+ 8 cos (40) stablish the identity sin θ-sin (30) 2sin θ Firstly, we choose the cosine, i. (b) 2 tan 6x. Important Solutions 13. Find : cos 20^0cos 40^0cos 60^0cos 80^0.cos 105 cos 1 Tonton video. = 8 [2 cos 20 ° cos 60 ° cos 20 ° − cos 40 ° cos 80 °] = 4 [ 2 cos 2 20 ° − 2 cos 40 ° cos 80 ° ] = 4 [ 1 + cos 40 ° − ( cos 120 ° + cos 40 ° ) ] \cos 10 \cos 20 \cos 40.IG CoLearn: @colearn. Ask Unlimited Doubts; Video Solutions in multiple languages (including Hindi) Video Lectures by Experts; Free PDFs (Previous Year Papers, Book Solutions, and many more) The correct option is D −1/2cos 40 + cos 80 + cos 160 + cos 240= 2cos(40+80 2)cos(40−80 2)+cos(180−20)+cos(180+60)= 2cos60. 1 2. cos20^@cos40^@cos80^@, =1/ (2sin20^@) (2sin20^@cos20^@)cos40^@cos80^@, =1/ (2sin20^@)sin … Find the value of expression cos 20 cos 40 cos 80.cos LHS=sin10sin30sin50sin70 =cos(90-10)sin30cos(90-50)cos(90-70) =cos(80)*1/2*cos(40)cos(20) =1/(4 sin20)cos(80)cos(40)*2sin20cos(20) =1/(8 sin20)cos(80)*2cos(40)sin(40 A = cos 20 0 + cos 40 0 + cos 60 0 + + cos 160 0 + cos 180 0 = (cos 20 0 + cos 160 0) + (cos 40 0 + cos 140 0) + + (cos 80 0 + cos 100 0) + cos 180 0 = 0 + 0 + … + 0 + (-1) = - 1 Gói VIP thi online tại VietJack (chỉ 200k/1 năm học), luyện tập gần 1 triệu câu hỏi có đáp án chi tiết. Class 12 MATHS TRIGONOMETRIC RATIOS AND IDENTITIES. Solution. Find the value of cos20. (vi) tan 20° tan 30° tan 40° tan 80° = 1. = tan 20 cos 20 cos 0- sin 30 sin 40. cos 60°. cos 80 ifadesinin değeri bulmak için aşağıdaki işlemleri yapalım. Question 4: Evaluate 3 cos 80° . Bằng cách Đăng ký tài khoản, bạn cos 40°+ cos 80°+ cos 160°+ cos 240 °= A. by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams.990268 cos(9°) = 0. 01:57. . It uses functions such as sine, cosine, and tangent to describe the ratios of the sides of a right triangle based on its angles. Working individually,A and B can complete a piece of work in 30 days and 45 days, respectively . cos 80 = x. Cost(hours) =200\nB. Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site jika kita menemukan soal seperti ini kita ingat lagi rumus dari trigonometri yang pertama ada sin 2A nilai dari sin 2A = 2 Sin a cos a maka disini kita dapatkan nilai cos hanya merujuk rumus yang ada di sini untuk mencari nilai cos A itu = Sin 2 a per 2 Sin A itu kan Nah rumus ini yang akan membantu kita dalam mencari nilai dari cos 20 derajat cos 4 derajat cos 60 derajat cos 80 derajat kalau (Mack-SP — adaptada) Qual o valor simplificado da expressão y = cos 80° + cos 40° - cos 20°? A) 0. We hope the given NCERT MCQ Questions for Class 11 Maths Chapter 3 Trigonometric Functions with Answers Pdf free download will help you. Diện tích tam giác ABC bằng bao nhiêu. What is the value of cos(20)cos(40)cos(80) ? The value of cos(20)cos(40)cos(80) is 0.S. Join / Login. 1 Answer +1 vote . cos80° = \(\frac{1}{16}\) trigonometry; class-12; Share It On Facebook Twitter Email. 由韦达定理, cos40°+cos80°+cos160°=0 calcule o valor da expressÃo trigonomÉtrica cos 20°. = 1 8 sin 10 o × 2 sin 40 o cos 40 o = 1 8 sin 10 o × 2 sin 40 o cos 40 o = 1 8 sin 10 o × sin 80 o Prove that cos 20° · cos40° · cos60° .com Step by step video & image solution for Prove that cos 20^(@) cos 40^(@) cos 80^(@) = (1)/(8). cos 80 ∘ = 1 4 ( cos 60 ∘ + cos 20 ∘) cos 80 ∘ = 1 4 cos 60 ∘. 浅写个妙法。.8/1=)@(^08soc)@(^04soc)@(^02soc:োরক ণামর্প . View Solution.93358 The problem is to prove that $$\sin 20^\circ \, \sin 40^\circ \, \sin 60^\circ \, \sin 80^\circ =\frac{3}{16}$$ All my attempts were to get them in $\sin (2A)$ form after eliminating $\sin 60^\ci We must know the double angle formula for sine: $\sin 2x = 2\sin x\cos x$ and that the sine and cosine functions are complementary to each other. sin ( 180 - 20) =1/16. Practice Question Bank.cos( C−D 2)cos(180+θ)= −cosθcos(180−θ)= −cosθ= 2× 1 2cos(20)−cos(20)− 1 2 (cos(−θ) = cosθ)= cos20−cos20− 1 2= −1 2. ⇒ (1/2) × (1/4) × (1/2) ⇒ 1/16. cos 20 ∘ ⋅ cos 40 Prove that: (i) cos 10° cos 30° cos 50° cos 70° = 3 16.