So, assume that I know the sin/cos angle additions [i. Study Materials. CBSE Commerce (English Medium) Class 11. Cite. 351k 41 41 gold badges 380 380 silver badges 820 820 bronze badges $\endgroup$ 1 $\begingroup$ can you write the steps $\endgroup$ I understand the wizardry that $\cos 20^\circ \cos 40^\circ \cos 80^\circ=\dfrac18$ Proving it isn't that hard.o^08 nis + o^07 nis = o^05 nis + o^04 nis + o^ 02 nis + o^01 nis : evloS 022 soc niM utiay idat itapmiS kutneb idajnem habU atik ini kutneb nagned ilakid tajared 02 niS ilakid hagnetes idajnem niam tajared 08 nis tajared 04 niS 2 ilakid hagnetes kutneb anek ini aggnihes aynaud nakraulek atik ilak id tajared 02 niS idaj ini gnakaleb gnay irad tnegnaT ,sunisoC ,suniS nailakreP sumuR =08 nis 04 nis 02 nis 08 nis ∘ 04 nis ∘ 02 nis :etaulavE . Get the answer to this question along with unlimited Maths questions and prepare better for JEE 2020 exam.$$ My hint is to write one of $\sin 20^\circ$ from $\sin^2 20^\circ$ as $2\sin 10^\circ \cos 10^\circ$, and to note that $\cos 10^\circ=\sin 80^\circ$.IG CoLearn: @colearn. View Solution. sin 60. NCERT Solutions For Class 12. Formula to be used: We know that 2 sin A sin B = cos A 15. I have been stuck for quite some time! Thank you in advance. Guides. View Solution. Study Materials. Now, using the fact that sum of angles in triangle is 180 $ \sin 30° \sin x \sin 10° = \sin 20° \sin ({80°-x}) \sin 40° $ I tried transformation formulas , $ 2\sin a \sin b $ one.2018 Math Secondary School answered Find the value of sin 20 degree sin 40 degree sin 80 degree sin 20 sin (60-20) sin (60+20) = sin 3×20. sin (100) + sin(60) - sin(80) divided by 4. sin 20∘sin 40∘sin 60∘·sin 80∘=3 / 10. Guides. sin80° = 0. = sin20+ sin40 - sin 80 = 2 sin (20+40)/2 cos (40-20)/2 - sin80 = 2 sin30 cos10 - sin 80 =2x1/2 cos10 - sin80 = cos10 - sin (90- 10) =cos10 - cos10 = 0=R. (d) 4 tan 6x.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 Step by step video & image solution for Find the value of sin 20^@ sin 40^@sin 80^@ by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams. The sine function finds the unknown angle or sides of a right triangle. Solve Prove that: "sin"20^0"sin"40^0"sin"60^0"sin"80^0=3/(16) 01:25. The given expression is sin 10 + sin 20 + sin 40 + sin 50 = sin 10 + sin 20 + sin 40 + sin 50 = 2 × 1 2 (c o s (90-80) + c o s (90-70)) [C o s 90-θ = S i n θ] = sin 80 + sin 70. Solve. Prove That: Sin 20° Sin 40° Sin 60° Sin 80° = 3 16 - Mathematics. Prove that (iii) cos 20° . The value of sin20^@ sin40^@ sin60^@ sin80^@ 03:29. sin20osin40osin80o On multiplying and divide by 2 and we get, ⇒ 1 2[2sin20osin40osin80o] ⇒ 1 2[cos(20o −40o)−cos(20o+40o)]sin80o ⇒ 1 2[cos20o−cos60o]sin80o ⇒ 1 2[cos20o− 1 2]sin80o ⇒ 1 4[2cos20o −1]sin80o ⇒ 1 4[2cos20osin80o −sin80o] Trigonometry. Prove that : (cos 20^0 - sin 20^0)/(cos 20^0 + sin 20^0) = tan 25^0. 1 answer. Stay tuned to BYJU'S - The Learning App and download the app to learn more formulas. It forms a qua … View Solution. To obtain 80 degrees in radian multiply 80° by π / 180° = 4/9 π. Prove that sin 10 ∘ + sin 20 ∘ + sin 40 ∘ + sin 50 ∘ = sin 70 ∘ + sin 80 The value of sin 20^(@) sin 40^(@) sin 60^(@) sin 80^(@) is equal to. asked Mar 4, 2022 in Trigonometry by Harshwardhan (72. 1 answer.9848077. Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step Solution. asked Feb 10, 2022 in Trigonometry by Architakumari (44. Answer. Prove the following: sin 20° sin 40° sin 60° sin 80° = 3/16. Our results of sin80° have been rounded to five decimal places. NCERT Solutions.IG CoLearn: @colearn. Using this formula, we can rewrite the left side of the equation as follows: sin^2 (20) + sin^2 (40) + sin^2 (80) Evaluate: sin^2 10° + sin^2 20° + sin^2 40° + sin^2 50° + sin^2 70° + sin^2 80° Please answer fast. Important Solutions 13. Textbook Solutions 11871. Limits. Sin40/sin80 + sin80/sin20 - sin20/sin40 A 1 B 2 C 3 D 4 Q. since,sin60=√ 3/2 = √ 3/2( sin20sin40sin80) Here is a completely different approach. by Maths experts to help you in doubts & scoring excellent marks in Class 12 exams. Solve. Integration. 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 sin 20° cos 40° + cos 20° sin 40° = √3/2. Maharashtra State Board HSC Science (Computer Science) 11th Standard. Use app Login. asked Jun 8, 2021 in Trigonometry by rahul01 (29. ⇒ sin 80° = sin 440° = sin Click here:point_up_2:to get an answer to your question :writing_hand:prove that sin 10 circ sin 20 circ sin 40. \\(\\dfrac{\\sqrt{3}}{8}\\) 4.S. FORMULAS Related Links: Formula To Find Median: Plane Geometry Formulas: Formula Equation: Basic … Step by step video & image solution for Prove that sin 20^@ sin 40^@ sin 60^@ sin 80^@=3/16. L H S = sin 20 ∘ sin 40 ∘ sin 80 ∘. Since sine function is positive in the first quadrant, thus sin 80° value = 0. Important Solutions 13.H. Explanation: Let , X = sin20∘sin40∘sin60∘sin80∘. asked Jun 30, 2022 in Mathematics by GovindSaraswat (45. Nilai eksak dari sin 20 sin 40 sin 80 adalah . Doing that, you obtain a linear trigonometric equation of the form Acosx + Bsinx = C, for which a general solution is known. Dengan menggunakan rumus ini, kita dapat menuliskan: sin 20° x sin 40° x sin 80° = sin (20° + 40° + 80°) = sin (20° + 40° + 80°) = sin 140° Click here👆to get an answer to your question ️ Prove that : sin 20^o sin 40^o sin 60^o sin 80^o = 316. sin 80 degrees = 0. ∴ X = 1 2 (sin60∘sin20∘)(2sin80∘sin40∘) Using , Product Identity. Prove that (i) cos 20° cos 40° cos 80° = 1/8 (ii) tan 20° tan 40° tan 80° = √3. Hint: Assume the given equation as, S = $\sin {20^ \circ }\sin {40^ \circ }\sin {60^ \circ }\sin {100^ \circ }$ and use the product identity, i. 2sin(80)cos(20)-sin 80 divided by4. Trigonometric Ratios of Allied Angles. Join / Login. = 1 2 [ cos 20 ∘ − 1 2] sin 80 ∘. Since the sine function is a periodic function, we can represent sin 80° as, sin 80 degrees = sin (80° + n × 360°), n ∈ Z. Step by step video & image solution for Prove that sin 20^0 sin 40^0 sin 80^0 = sqrt(3)/8. Complete step-by-step answer: The sine calculator allows through the sin function to calculate online the sine sine of an angle in radians, you must first select the desired unit by clicking on the options button calculation module. asked Mar 4, 2022 in Trigonometry by Harshwardhan (72. 2sinxsiny = cos(x −y) − cos(x + y),f or,x = 80,y = 40. 1 answer.H. Prove that : sin 20° sin 40° sin 80° = √3/8. Prove the following: cos 20° cos 40° cos 60°cos 80° = 1/16. = (cos20°sin80°-cos60°sin80°)sin60°/2. Since the sine function is a periodic function, we can represent sin 80° as, sin 80 degrees = sin (80° + n × 360°), n ∈ Z. You got this correctly. Standard IX. Q2. Exact Form: sin(40)sin(20) sin ( 40) sin ( 20) Decimal Form: 0.noituloS weiV . View Solution. 2cos x sin y = sin (x+ y) - sin (x-y) Dari soal akan dicari nilai sin 80° sin 40° sin 20°. ⇒ sin 60° [ sin 20° sin 40° sin 80°] ⇒ sin 60° [ sin 20° sin (60° - 20°) sin (60°+20°) By using the above formula. Important Solutions 22. I've check other sources and they say to use Morrie's Law, however I have not actually learned it in the book. Solve Step by step video & image solution for 16 " sin " (20^(@)) " sin " (40^(@)) " sin "(80^(@)) is equal to : by Maths experts to help you in doubts & scoring excellent marks in Class 12 exams. Similar Questions. … Prove that : sin 20° sin 40° sin 80° = √3/8.6k points) trigonometry; 0 votes. Login. Question. Up to sign off 560 degrees.muS . cos (180°-x) = -cos x 3.6k points) trigonometry; 0 votes. This problem is found in "Trigonometry" by I. Question 20. 提示的意思是，设 M=\sin10°\cdot\sin50°\cdot\sin70° ，可以通过计算 M\cos10° 来间接计算 原式 的值，也就是说，通过计算 \sin10°\cdot\sin50°\cdot\sin70°\cdot\cos10° 来计算原式的值。. Hence, sin 10 + sin 20 + sin 40 + sin 50 = sin 80 + sin 70 Answer: The sine function in trigonometry is defined as the ratio of the opposite side's length to the hypotenuse's length in a right-angled triangle. asked Feb 10, 2022 in Trigonometry by Architakumari (44. The Golden Quadrilateral is a national highway network connecting several major industrial, agricultural and cultural centres of India. So, develop sinx = 4sin10°sin40°sin70°cosx − 4sin10°sin40°cos70°sinx.6k points) trigonometry; Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to … Prove the following: sin 20° sin 40° sin 60° sin 80° = 3/16.sin20osin40osin80oOn multiplying and divide by 2 and we get,⇒ 1 2[2sin20osin40osin80o]⇒ 1 2[cos(20o −40o)−cos(20o+40o)]sin80o⇒ 1 … Trigonometry. Matrix. Arithmetic.: $\sin(A + B) = \sin A \cos B + \cos A \sin B$, etc. Similar Questions. 1 answer. asked Mar 18, 2020 in Trigonometry by Prerna01 (52. Differentiation. asked Jun 8, 2021 in Trigonometry by rahul01 (29. \\(\\dfrac{1}{2}\\) 2. ∴ X = 1 2 (sin60∘sin20∘)(2sin80∘sin40∘) Using , Product Identity.98481, the same as sin of 80 degrees in radians. sin 20 derajat x sin 40 derajat x sin 80 derajat= . Morrie's law. cos 80° = \(\frac{1}{16}\) (iv) (v) sin 20°. - Mathematics . asked Mar 18, 2020 in Trigonometry … Explanation: For sin 80 degrees, the angle 80° lies between 0° and 90° (First Quadrant ). asked Feb 10, 2022 in Trigonometry by Architakumari (44. cos 60° = 1/2 2..2 yb dedivid 08 nis])04( nis)02( nis[ 08 nis 04 nis 02 nis 纳采友网被答回本 式公数函角三-科百度百 ：源来料资考参 。°02²nis-°02²soc=°04soc、°02nis=）°02-π（nis、°04soc°04nis2=°08nis、°02soc°02nis2=°04nis：子例 . Here the given expression is . -2 sin x sin y = cos (x +y) - cos (x- y) 4. Morrie's law is a special trigonometric identity. asked Jun 8, 2021 in Trigonometry by rahul01 (29. Guides.8k points) jee main 2022; 0 votes. hence proved-18 Prerequisite.9848077. You can find sine of angle B using sine rule: sinβ = (2. sin A + sin B = 2 sin(A + B 2) cos(A − B 2) sin A + sin B = 2 sin ( A + B 2) cos Let us start with a bit simplification by cross multiplying and replacing $\sin(30) =0. 04:35. 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 Prove that sin 20 ×sin40 × sin60 × sin80 = 3/16. I have been stuck for quite some time! Thank you in advance. Step by step video, text & image solution for Prove that sin 20^(@) sin 40^(@) sin 60^(@) sin 80^(@)=3/(16). The problem is to prove that. Use app Login. A 1.4k points) transformation formulae; The value of sin 20° sin 40° sin 80° is. ∫ 01 xe−x2dx. asked Mar 4, 2022 in Trigonometry by Harshwardhan (72. Step 1: We are given the equation. 举报. If you want sine 80° with higher Doubtnut is No. = cos10 - sin (90- 10) =cos10 - … Prove the following : sin 20° sin 40° sin 60° sin 80° = 316 .. Since the sine function is a periodic function, we can represent sin 20° as, sin 20 degrees = sin (20° + n × 360°), n ∈ Z.000/bulan. Rumus Perkalian Sinus, Cosinus, Tangent menjadi Min setengah adalah Sin X = setengah kita kalikan Sin 80 maka kita punya 122bisa kita samakan penyebut 2 cos Sin maka kita bisa bentuk yang bikin lapan puluh derajat sedangkan yang kita lihat 80 cos 20 bisa kita gunakan untuk Sin a $$\frac{\sin^2(20)}{\sin(140)\sin(80)} = \frac{\cos(80)}{\cos(20)}$$ Any help or hints will be appreciated. Its name is due to the physicist Richard Feynman, who used to refer to the identity under that name.

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4k points) transformation formulae; class-11; 0 votes. (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 80° = 3 16 The correct answer is 16 sin20o sin 40o sin 80o=16sin40°sin20°sin80° =4(4sin(60-20)sin(20)sin(60+20)) =4×sin3×20° [∵sin3θ=4sin(60-θ)×sinθ×sin(60+θ)] =4×sin60° =4×32=23 Click here:point_up_2:to get an answer to your question :writing_hand:prove that sin 10 circ sin 20 circ sin 40. Class 12 MATHS TRIGONOMETRIC FUNCTIONS - SUM AND DIFFERENCE OF ANGLES - FOR BOARDS. 2sinxsiny = cos(x −y) − cos(x + y),f or,x = 80,y = 40. Prove that: i) sin20^(@)sin40^(@)sin60^(@)sin80^(@)=3/16 ii) sin10 Solve: sin 10 + sin 20 + sin 40 + sin 50. Step 2: We can use the identity. Prove that: Sin 10° + Sin 20° + Sin 40°+ Sin 50° = Sin 70°+ Sin 80° View Solution. The double-angle formula states that sin (2θ) = 2sin (θ)cos (θ).4k points) transformation formulae; class-11; 0 votes. = 1 2 [ 2 sin 20 ∘ sin 40 ∘] sin 80 ∘.71 ⋅sin46)/2. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Use app Login. Tentukan nilai dari bentuk $ \sin 20^\circ \sin 40^\circ \sin 80^\circ $ ? Penyelesaian : Ada tiga cara yang akan kita sajikan dalam menyelesaikan soal nomor 1 : Cara I : *). Prove that : tan 20° tan 40° tan 60° tan 80° = 3. ∴ X = 1 2 ( √3 2 sin20∘){cos(80 −40) − cos(80 +40)} ∴ X = √3 4 sin20∘{cos40∘ −cos120∘} ∴ X = √3 4 sin20∘{cos40∘ + 1 2 } ∴ X = √3 8 The correct answer is 16 sin20o sin 40o sin 80o=16sin40°sin20°sin80° =4(4sin(60-20)sin(20)sin(60+20)) =4×sin3×20° [∵sin3θ=4sin(60-θ)×sinθ×sin(60+θ)] =4×sin60° =4×32=23 Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Step by step video & image solution for Prove that sin 20^@ sin 40^@ sin 60^@ sin 80^@=3/16. =2x1/2 cos10 - sin80. Let's once again start by applying the identity 'sin (s)sin (t) = - cos (s + t) + cos (s - t) / 2.85 ⇒β = 58.98481. [ ∵ sin 60 ∘ = 3 2] = 3 4 ( 2 sin 40 ∘ ⋅ sin 20 ∘) ⋅ sin 80 ∘ = 3 4 [ cos ( 40 ∘ - 20 ∘) - cos ( 40 ∘ + 20 ∘)] × sin 80 ∘ = 3 4 [ cos 20 ∘ - cos 60 ∘] ⋅ sin 80 ∘ = 3 8 [ 2 sin 80 ∘ ⋅ cos 20 ∘ - 2 cos 60 ∘ ⋅ sin 80 ∘] Explanation: For sin 80 degrees, the angle 80° lies between 0° and 90° (First Quadrant ).

4k points) trigonometry; class-11; 0 votes

. \angle PBA = 20° PAC = 40° \angle PCA = 30° $ then what kind of triangle it In your case, you can get rid of the argument 70° − x using the angle subtraction formula. asked Feb 10, 2022 in Trigonometry by Architakumari (44. What is Trigonometry? Trigonometry the area of mathematics that deals with particular angles' functions and how to use those functions in calculations. . Berdassarkan konsep di atas didapat: (sin 80° sin 40°) sin 20° = -1/2 (cos (80° + 40°)- cos ( 80° - 40°)) =-1/2 ( cos 120°- cos 40°)sin 20 Prove that: Sin 10° + Sin 20° + Sin 40°+ Sin 50° = Sin 70°+ Sin 80° View Solution. \\(\\dfrac{1}{8}\\) Ikut Bimbel online CoLearn mulai 95.id yuk latihan soal ini!sin 20 sin 40 sin 80= . Sin 80degrees = sin (4/9 × π). Open in App. Class 12 MATHS QUESTION BANK. ∴ X = 1 2 (sin60∘sin20∘)(2sin80∘sin40∘) Using , Product Identity. 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. Answer. Q3 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. NCERT Solutions. = 1 2 [ cos ( 20 ∘ − 40 ∘) − cos ( 20 ∘ + 40 ∘)] sin 80 ∘.000/bulan. NCERT Solutions. Formula Used: sin (A + B) = sin A cos B + cosA sin B. 04:35. To calculate sine online of π 6 π 6, enter sin ( π 6 π 6), after calculation, the result 1 2 1 X = sin 20 ° sin 40 ° sin 80 ° ⇒ X = sin 20 ° 2 (cos 40 ° − cos 120 °) ⇒ X = 1 4 (sin 60 ° − sin 20 °) + 1 4 sin 20 ° ⇒ X = sin 60 ° 4 = √ 3 8 Suggest Corrections 45 We have,L. View Solution. = 2 sin30 cos10 - sin 80. Concept Notes & Videos 127.IIX dradnatS . We would like to show you a description here but the site won’t allow us. Concept Notes = `sqrt(3)/8[sin(80^circ + 20^circ) + sin(80^circ - 20^circ) - … Trigonometry. asked Mar 18, 2020 in Trigonometry by Prerna01 (52 1 answer. 1 answer. Standard XII. Prove the following: cos 20° cos 40° cos 60°cos 80° = 1/16. Join / Login. I know the value of sin 30° but what about others? Original problem. The value of (sin 7x + sin 5x) / (cos 7x + cos 5x) + (sin 9x + sin 3x) / (cos 9x + cos 3x) is. Free math problem solver answers your trigonometry homework questions with step-by-step explanations. View Solution. The value of sin 20° sin 40° sin 60° sin 80° is _____. Step 2/8. Login. ⇒ sin 80° = sin 440° = sin Prove that : sin 20° sin 40° sin 80° = √3/8 Use app ×. We hope the given NCERT MCQ Questions for Class 11 Maths Chapter 3 Trigonometric Functions with Answers Pdf free download will help you. Question Prove that, sin20∘sin40∘sin80∘ = √3 8 Solution Verified by Toppr We have, L. Advertisement. Prove the following identity: 4(cos^3 10^0+sin^3\ \ 20^0)=\ 3\ (cos 10 02:13.com Find the value of sin 20 degree sin 40 degree sin 80 degree Get the answers you need, now! prathemesh9654 prathemesh9654 12. Free math problem solver answers your trigonometry homework questions with step-by-step explanations. Class 11 MATHS TRIGONOMETRIC RATIOS AND IDENTITIES. The value of sin 20° sin 40° sin 80° is. sin20°sin40°sin60°sin80°. Join / Login >> Class 11 >> Maths >> Trigonometric Functions >> Trigonometric Functions of Sum and Difference of Two angles >> Prove that: sin 20^∘ sin 40^∘ sin 60^∘ s. (b) 2 tan 6x. Concept Notes & Videos 127. Since sine function is positive in the first quadrant, thus sin 20° value = 0. sin 20° cos 40° + cos 20° sin 40° Step 2 of 2 : Find the value of Step-1 : Simplifying the above expression tan 20 ° tan 40 ° tan 60 ° tan 80 °.4k points) transformation formulae; class-11; Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Answer 3 people found it helpful Massu663 Answer: L .In a triangle ABC, a = 4, b = 3, c = 2.S. by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams. 解答一. Tonton video. Similar Questions.21984631… 0. Advertisement. 1 answer. Solve your math problems using our free math solver with step-by-step solutions. B 2 .noituloS weiV .sin 40° sin 60°. sin 20 ∘ sin 40 ∘ sin 60 ∘ sin 80 ∘ = 3 16. The value of sin 20° sin 40° sin 80° is. by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams. Mathematics. Class 11 MATHS TRIGONOMETRIC FUNCTIONS. 05:15.29 = 0. Integration.35.If cos x = -1/2 then find the value of cos 3x ? Q4. Solution. Let us assume, that LHS = sin 20 × sin 40 × sin60 × sin80 = sin60 [sin20 × sin40 × sin80] 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 10° cos 40° cos 20° The value of sin 20° sin 40° sin 60° sin 80° is equal to. Prove the following: sin 20° sin 40° sin 80° = 38 - Mathematics and Statistics The value of sin 20° sin 40° sin 60° sin 80° is _____. asked Mar 18, 2020 in Trigonometry by Prerna01 (52 1 answer.6k points) trigonometry; Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. In this case if we focus on the expression 'cos (20°) (cos (40°),' s would be = 20°, and t = 40°. Class 11 MATHS TRIGONOMETRIC FUNCTIONS. asked Nov 17, 2020 in Trigonometry by Darshee (49. (vii) tan 3A - tan 2A - tan A = tan 3A . C 3 . 5. This follows almost immediately from $$\sin 20^\circ \sin 40^\circ \sin 80^\circ =\frac{\sqrt 3}{8},\tag{1}$$ which is a corollary of $$\sin x \sin (60^\circ-x) \sin (60^\circ+x)=\frac{\sin(3x)}{4}. Login Prove that: (i) cos 55° + cos 65° + cos 175° = 0 (ii) sin 50° – sin 70° + sin 10° = 0 (iii) cos 80° + cos 40° – cos 20° = 0. = sin20+ sin40 - sin 80. MCQ. Prove that : sin 20° sin 40° sin 80° = √3/8. Viewed 10k times.snoitulos pets-yb-pets htiw revlos htam eerf ruo gnisu smelborp htam ruoy evloS . Since sine function is positive in the first quadrant, thus sin 80° value = 0.4k points) trigonometry; Hence, the value of sin 20° sin 40° sin 60° sin 80° is 3/16. by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams.4k points) trigonometry; class-11; 0 votes. Trigonometric Ratios of Allied Angles.sin50. We are given the equation cos (20°) (cos (40°) (cos (60°) (cos (80°) = √3 / 8. Sin 40 / sin Question. ⇒ 3 2 [ s i n 3 ( 20 ∘) 4] ⇒ 3 2 [ s i n 60 ∘ 4] ⇒ 3 2 [ 1 4 × 3 2] (∵ sin 60° = 3 2) We would like to show you a description here but the site won't allow us. Solve Study Textbooks Guides. Q. Prove that : tan 20° tan 40° tan 60° tan 80° = 3. Ikut Bimbel online CoLearn mulai 95. sin20^(@)sin40^(@)sin60^(@)sin80^(@) 03:43. The value of sin 20^(@) sin 40^(@) sin 60^(@) sin 80^(@) is equal to.H. Prove that sin 10 ∘ + sin 20 ∘ + sin 40 ∘ + sin 50 ∘ = sin 70 ∘ + sin 80 = 2 sin(20+40)/2 cos (40-20)/2 - sin80 = 2 sin30 cos10 - sin 80 =2x1/2 cos10 - sin80 = cos10 - sin(90- 10) =cos10 - cos10 = 0=R. Prove that: Sin 10° + Sin 20° + Sin 40°+ Sin 50° = Sin 70°+ Sin 80°.6k points) transformation formulae; Detailed Solution Download Solution PDF Concept: Sin (A + B) + Sin (A - B) = 2 sin A cos B Sin (A + B) - Sin (A - B) = 2 cos A sin B Cos (A + B) + Cos (A - B) = 2 cos A cos B Cos (A - B) - Cos (A + B) = 2 sin A sin B Calculation: S = sin 20° sin 40° sin 80° ⇒ S = 1 2 sin 40° (2 sin 80° sin 20°) The value of 16(sin 20°)(sin 40°) (sin 80°) is (1) 2√3 (2) 2√5 (3) -2√5 (4) -2√3. Solution. Q 5. Jack D'Aurizio Jack D'Aurizio. x→−3lim x2 + 2x − 3x2 − 9. Maharashtra State Board HSC Arts (English Medium) 11th Standard. EDIT: After repeatedly using the double angle sin formula, I got this expression: $\frac{1}{8cos^2(20)cos(40)}$ Disini ada pertanyaan nilai dari sin 20 dikali dengan Sin 40 derajat dikali Sin 60 derajat dikali dengan Sin 80 derajat adalah angka pertama kita. The value of sin 20° sin 40° sin 80° is.Solution The correct option is C √3 8 Let , X =sin20°sin40°sin80° ⇒ X= sin20° 2 (cos40°−cos120°) ⇒ X= 1 4(sin60°−sin20°)+ 1 4sin20° ⇒ X= sin60° 4 = √3 8 Suggest Corrections 45 Similar questions Q. Click here👆to get an answer to your question ️ Prove that: sin 20^∘ sin 40^∘ sin 60^∘ sin 80^∘ = 316.H. Question. View Solution.sin70 câu hỏi 4455836 - hoidap247. I had trouble with this before my coffee this morning, and looking at it again just now didn't lend itself to any obvious identity manipulations. Click here:point_up_2:to get an answer to your question :writing_hand:prove thatsin20 sin40 sin60 sin80dfrac316.e. Given : sin20° cos40° + cos20° sin40° To find : The value of the expression . underoot3/8. 1 + 4 sin 2 A Prove the following: sin 20° sin 40° sin 80° = 38 . The Greeks focused on the calculation of chords, while mathematicians in India created the earliest iii) sin 20 ∘ sin 40 ∘ sin 80 ∘ = √ 3 8. Q. See answers I will mark the first to answer as brainliest, pls answer. Advertisement Advertisement MarkAsBrainliest MarkAsBrainliest 40°) + sin²(90° - 20°) + sin²(90° - 10°) The value of sin(80°) cos(20°) - cos(80°) sin(20°)= √3/2, using the concept of trigonometry. EDIT: After repeatedly using the double angle sin formula, I got this expression: $\frac{1}{8cos^2(20)cos(40)}$ Disini ada pertanyaan nilai dari sin 20 dikali dengan Sin 40 derajat dikali Sin 60 derajat dikali dengan Sin 80 derajat adalah angka pertama kita. cos(-20)-cos(60)sin60 divided by 2. Step by step video & image solution for Prove that, sin20^@sin40^@sin80^@=sqrt3/8. ADVERTISEMENT. Mathematics. Show that sin10∘+sin20∘+sin40∘+sin50∘ =sin70∘+sin80∘. Recommended Questions Nilai eksak dari sin 20 sin 40 sin 80 adalah . Prove that : sin 20° sin 40° sin 80° = √3/8 Use app ×. = [cos (20°-40°)-cos (20°+40°)]sin80°sin60°/2. Important Solutions 9. CBSE Commerce (English Medium) Class 11.

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Limits. 关注. Click here:point_up_2:to get an answer to your question :writing_hand:prove that sin 40 circ cos 70 circ. 01:15. Solve your math problems using our free math solver with step-by-step solutions. Prove the following: sin 20° sin 40° sin 60° sin 80° = 3/16. ∘ 08 nis ⋅ ∘ 04 nis ⋅ ∘ 02 nis ⋅ 2 3 = °08 nis ·°06 nis ·°04 nis ·°02 nis = . (c) 3 tan 6x.18489. The value of sin 20^(@) sin 40^(@) sin 60^(@) sin 80^(@) is equal to. 1 answer. Updated on: 21/07/2023. Join / Login.3420201. The value of sin200sin400sin800 is Q.125. Textbook Solutions 9040. asked Jun 8, 2021 in Trigonometry by rahul01 (29. 2sinasinb=cos (a-b)-cos (a+b) 2sinacosb=sin (a+b)+sin (a-b) 上述公式很容易用和差公式推导. 07:34. Solution : Step 1 of 2 : Write down the given expression .H.S. = 1 2 … Modified 8 years, 5 months ago. Add your answer and earn points. Step by step video & image solution for Prove that sin 20^(@) sin 40^(@) sin 80^(@) = (sqrt3)/(8). Prove that: (i) cos 55° + cos 65° + cos 175° = 0 (ii) sin 50° – sin 70° + sin 10° = 0 (iii) cos 80° + cos 40° – cos 20° = 0. Login Prove that: (i) cos 55° + cos 65° + cos 175° = 0 (ii) sin 50° - sin 70° + sin 10° = 0 (iii) cos 80° + cos 40° - cos 20° = 0. Share. sin20^@ sin 40^@ sin 60^@ sin 80^@ The value of. It is asked in the section "Double the angle".. We need to prove this equation. Syllabus. sin 80° = 0. . Sederhanakan bentuk berikut ini! menjadi min 2 Sin Sin yaitu min 2 dari 80 derajat yang ditambah dengan 40 derajat lalu nanya kita / 2 dikalikan dengan Sin dari 80 derajat dikurang 40 derajat lalu di sini kita bagi dengan 2 dan sisanya untuk bagian penyebut perhatikan bahwa Sin If sin 2 10 ° sin 20 ° sin 40 ° sin 50 ° sin 70 ° = α - 1 16 sin 10 °, then 16 + α - 1 is equal to. Textbook Solutions 7402. ∴ X = 1 2 ( √3 2 sin20∘){cos(80 −40) − cos(80 +40)} ∴ X = √3 4 sin20∘{cos40∘ −cos120∘} ∴ X = √3 4 sin20∘{cos40∘ + 1 2 } ∴ X = √3 8 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 About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright answer answered Sin 20° + sin 40° - sin 80° inesh123 is waiting for your help. Without using trigonometric tables, find the value of (sin^2 10° + sin^2 80°)/(sec^2 20°-cot^2 70°)-3tan80°tan 50° tan 45° tan 10° tan 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 Ingat konsep: 1.] as well as everything learned prior. Prove that: Sin 10° + Sin 20° + Sin 40°+ Sin 50° = Sin 70°+ Sin 80°. Rumus Perkalian Sinus, Cosinus, Tangent menjadi Min setengah adalah Sin X = setengah kita kalikan Sin 80 maka kita punya 122bisa kita samakan penyebut 2 cos Sin maka kita bisa bentuk yang bikin lapan puluh derajat sedangkan yang kita lihat 80 cos 20 bisa kita gunakan untuk Sin a $$\frac{\sin^2(20)}{\sin(140)\sin(80)} = \frac{\cos(80)}{\cos(20)}$$ Any help or hints will be appreciated. Tính giá trị các biểu thức sau: sin10. Step-2 : Evaluating sin 20 ° sin 40 ° sin 80 °. Free math problem solver answers your trigonometry homework questions with step-by-step explanations. Solve.10. Tuliskan ulang karena ini ada sifatnya perkalian maka kita bisa membeli balik urutan agar memudahkan kita dalam perhitungan kita Tuliskan yaitu Sin 60 derajat dikali dengan Sin 20 derajat. Textbook Solutions 11871. We would like to show you a description here but the site won't allow us.9k points) For sin 20 degrees, the angle 20° lies between 0° and 90° (First Quadrant ). Solve Study Textbooks Guides. $2\sin x\sin y = \cos (x - y) - \cos (x + y)$, and then solve the question. Sin40/sin80 + sin80/sin20 - sin20/sin40 .S. NCERT Solutions For Class 12 Physics; =>√3/2[sin20. Advertisement Advertisement New questions in Math. After that, you can start your calculations. Prove that sin10+sin 30+sin 50+sin 70 =root3÷16. Advertisement. 1 answer. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.89842541528951E-16 Sine, in mathematics, is a trigonometric function of an angle. = 2 sin (20+40)/2 cos (40-20)/2 - sin80. 04:35. Determine whether sin (10)*sin (50)*sin (70) = 1/8 exactly, or just comes very close to 0. Remember that cos (- x) = cos (x). FORMULAS Related Links: Formula To Find Median: Plane Geometry Formulas: Formula Equation: Basic Physics Formulas Pdf: Prove that sin 20^@ sin 40^@ sin 60^@ sin 80^@=3/16. All arguments are in degrees. asked Mar 4, 2022 in Trigonometry by Harshwardhan (72. Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step Solution L H S = sin 20 ∘ sin 40 ∘ sin 80 ∘ = 1 2 [ 2 sin 20 ∘ sin 40 ∘] sin 80 ∘ = 1 2 [ cos ( 20 ∘ − 40 ∘) − cos ( 20 ∘ + 40 ∘)] sin 80 ∘ = 1 2 [ cos 20 ∘ − 1 2] sin 80 ∘ = 1 2 sin 80 ∘ [ cos 20 ∘ − 1 2] = 1 2 sin 80 ∘ cos 20 ∘ − 1 4 sin 80 ∘ = 1 2 sin ( 90 ∘ − 10 ∘) cos 20 ∘ − 1 4 sin 80 ∘ = 1 2 cos 10 ∘ cos 20 ∘ − 1 4 sin 80 ∘ Precalculus Find the Exact Value sin (40)sin (20) sin(40) sin(20) sin ( 40) sin ( 20) The result can be shown in multiple forms. To find: sin 20° sin40° sin60° sin80° = 3/16. Similar Questions. \begin {aligned} &\sin10 Linear equation. Syllabus.98481. The sin of 80 degrees is 0. Join / Login >> Class 11 >> Maths >> Trigonometric Functions >> Trigonometric Functions of Sum and Difference of Two angles sin 2 A + sin 2 B + sin 2 C c. Stay tuned to BYJU’S – The Learning App and download the app to learn more formulas. . So we have a form Nilai eksak dari sin 20 sin 40 sin 80 adalah . by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams.4k points) trigonometry; class-11; 0 votes.If sin x = 1/6 then find the value of sin 3x ? Q5. In triangle ABC, P is an interior point such that $ \angle PAB = 10°. 1 answer. by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams. Then we should prove the following: $$\frac{1}{2} \sin(80) = \sin(40)\sin(50)$$ $$ 3+\frac{\sin 20}{\sin 40} = \frac{\sin 80}{\sin 20}+\frac{\sin 40}{\sin 80}$$ as wanted. Tuliskan ulang karena ini ada sifatnya perkalian maka kita bisa membeli balik urutan agar memudahkan kita dalam perhitungan kita Tuliskan yaitu Sin 60 derajat dikali dengan Sin 20 derajat. Study Materials.sin(60-20).S. asked Jun 8, 2021 in Trigonometry by rahul01 (29. sin10∘ + sin20∘ + sin40∘ + sin50∘ = sin70∘ + sin80∘ sin 10 ∘ + sin 20 ∘ + sin 40 ∘ + sin 50 ∘ = sin 70 ∘ + sin 80 ∘. Concept Notes & Videos 206. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.sin 80° = \(\frac{3}{16}\) (vi) tan 70° = tan 20° + 2 tan 50°. Syllabus. sin (80) cos(20)-1/2sin 180 divided by 2. 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 Step 1/8. The value of the expression sin 40 ∘ sin 80 Prove that: "sin"20^0"sin"40^0"sin"60^0"sin"80^0=3/(16) 01:25.S. Fill in the Blanks Trigonometric Proof. ⇒ sin 20° = sin 380° = sin 740°, and so on. . Simultaneous equation. The value of the expression sin 40 ∘ sin 80 Calculate the value of the sin of 720 ° To enter an angle in radians, enter sin(720RAD) sin(720 °) = -4. All my attempts were to get them in sin … Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. asked Feb 10, 2022 in Trigonometry by Architakumari (44. D 4.sin30. \\(\\dfrac{\\sqrt{3}}{2}\\) 3.H. Sri Chaitanya School Admission Enquiries 040-71045045 & 040-44600600 Ext 401, 402 & 425 Prove That: Sin 20° Sin 40° Sin 60° Sin 80° = 3 16 . The sine 1).evah eW :noitaluclaC . About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright The value of sin 20^(@) sin 40^(@) sin 60^(@) sin 80^(@) is equal to. . Trigonometry is a branch of mathematics concerned with relationships between angles and ratios of lengths.5$. sin 20 × sin 40 × sin 60 × sin … (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 80° = 3 16 Let , X = sin20∘sin40∘sin60∘sin80∘.sin(60+20)] =>√3/2[sin 3(20)/4] =>√3/2[sin 60/4] =>√3/2[√3/2*4] =>√3/2*√3/8 =3/16 .4k points) trigonometry; class-11; 0 votes. Rumus Dasar yang kita gunakan adalah rumus perkalian fungsi trigonometri : 看到收藏动态别忘了到我的收藏夹里去看一看。.4k points) transformation formulae; Step by step video & image solution for Prove that, sin20^@sin40^@sin80^@=sqrt3/8. by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams. 1. #=tan20+sin 80/cos 80-sin 40/cos 40# #=sin 20/cos 20+(sin 80cos 40-cos 80sin 40)/(cos 80cos 40)# #=(sin 20cos 80cos 40+sin 40cos 20) /(cos 20cos 80cos 40)# Now denominator of this expression #=cos 20cos 80cos 40# #=(4*2sin 20cos 20cos 40cos 80)/(8sin 20)# sin20 * sin40 * sin60 * sin80 since sin 60 = √3/2 √3/ 2 (sin 20 * sin 40 * sin 80) √3/ 2 (sin 20) [sin 40 * sin 80] Using identity: sin A sin B = (1/2) [ cos(A Trigonometry. Gelfand [in English]. Open in App. Without using trigonometric tables, find the value of (sin^2 10° + sin^2 80°)/(sec^2 20°-cot^2 70°)-3tan80°tan 50° tan 45° tan 10° tan. Solution L. M. Taking the left hand side and multiplying it up and down by $\sin 20$ yields: \begin Prove that: Sin 10° + Sin 20° + Sin 40°+ Sin 50° = Sin 70°+ Sin 80 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 Q. tan 2A tan A. (viii) If A + B + C = 90°, prove that tan A tan B + tan B tan C + tan C tan A = 1 (ix) Prove that : (x) Prove : + (sin The value of sin 20° sin 40° sin 80° is 1.∘08nis∘06nis∘04nis∘02nis = X , teL … 13648912. 2sinxsiny = cos(x −y) − cos(x + … About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket … Answer: L . Login.e.. 积化和差公式. cos 40° cos 60°. sin 20° sin 40° sin 60° sin 80°. Solution Consider LHS sin 20 × sin 40 × sin 60 × sin 80 = sin 60 [ sin 20 × sin 40 × sin 80] = 3 2 [ sin 20 × sin ( 60 - 20) × sin ( 60 + 20)] = 3 2 sin 3 ( 20) 4 ∵ sin A sin ( 60 − A) sin ( 60 + A) = 1 4 sin 3 A = 3 2 sin 60 4 = 3 2 3 2 × 4 = 3 2 × 3 8 = 3 16 = RHS ∴ LHS = RHS Hence proved Suggest Corrections 269 Differentiation PHYSICS Sin 40 / sin 80+sin 80 / sin 20 sin 20 / sin 40A 1B 2C 3D 4. Follow answered Jul 12, 2016 at 18:49. What is cos 3C equal to ? Q3. 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.H. 04:35. First part: existence of a unique solution: The initial equation written under the form: $$[\sin(20) \sin(40)]\frac{\sin(80-x given: sin 20°, sin 40°, sin 60° and sin 80°. Prove that: (i) cos 55° + cos 65° + cos 175° = 0 (ii) sin 50° - sin 70° + sin 10° = 0 (iii) cos 80° + cos 40° - cos 20° = 0.S.id yuk latihan soal ini!Nilai eksak dari sin 20 View Solution. Step 1: Use sin C + sin D rule. Click here:point_up_2:to get an answer to your question :writing_hand:the value of sqrt3cosec 20circsec 20circ is equal to. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.4k points) trigonometry; Hence, the value of sin 20° sin 40° sin 60° sin 80° is 3/16. Advertisement. sin(80) + sin(60) - sin(80) divided by 4. asked Feb 10, 2022 in Trigonometry by Architakumari (44. Similar Questions. Morning brainteaser: Prove sin (10)*sin (50)*sin (70) = 1/8. 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 VIDEO ANSWER: So in the given question we have to find the son of the expression, sign off 20 degrees plus sign of 80 degrees plus, sign off 1 40 degrees plus etcetera. . Prove the following: sin 20° sin 40° sin 60° sin 80° = 3/16. 计算过程：. Answer. Untuk menyelesaikan persoalan ini, kita dapat menggunakan rumus sinus komponens: sin (A + B) = sin A cos B + cos A sin B. (a) tan 6x.There are six common trigonometric functions for an angle. Prove that: Solving a triangle given two side lengths and the measure of a non-included angle.