asked Jun 8, 2021 in Trigonometry by rahul01 (29. 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. Similar Questions. . Textbook Solutions 11871. NCERT Solutions. Prove the following: sin 20° sin 40° sin 60° sin 80° = 3/16. 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.stniop nrae dna rewsna ruoy ddA .°06 nis °04 nis. Since sine function is positive in the first quadrant, thus sin 80° value = 0. Prove the following: sin 20° sin 40° sin 60° sin 80° = 3/16.: $\sin(A + B) = \sin A \cos B + \cos A \sin B$, etc. We would like to show you a description here but the site won't allow us. 1. Class 11 MATHS TRIGONOMETRIC FUNCTIONS.000/bulan. Sum. 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. 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. Solve.4k points) trigonometry; class-11; 0 votes. 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 : *). Important Solutions 13. 04:35. Since the sine function is a periodic function, we can represent sin 80° as, sin 80 degrees = sin (80° + n × 360°), n ∈ Z. ∴ 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. 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. 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. 1 answer. asked Mar 18, 2020 in Trigonometry by Prerna01 (52 1 answer.85 ⇒β = 58. Answer.SEITITNEDI DNA SOITAR CIRTEMONOGIRT SHTAM 11 ssalC . Evaluate: sin 20 ∘ sin 40 ∘ sin 80 sin 20 sin 40 sin 80= Rumus Perkalian Sinus, Cosinus, Tangent dari yang belakang ini jadi Sin 20 derajat di kali kita keluarkan duanya sehingga ini kena bentuk setengah dikali 2 Sin 40 derajat sin 80 derajat main menjadi setengah dikali Sin 20 derajat dikali dengan bentuk ini kita Ubah menjadi bentuk Simpati tadi yaitu Min cos 220 Solve : sin 10^o + sin 20 ^o + sin 40^o + sin 50^o = sin 70^o + sin 80^o. ⇒ sin 60° [ sin 20° sin 40° sin 80°] ⇒ sin 60° [ sin 20° sin (60° - 20°) sin (60°+20°) By using the above formula. Share.4k points) transformation formulae; Step by step video & image solution for Prove that, sin20^@sin40^@sin80^@=sqrt3/8.S. sin (80) cos(20)-1/2sin 180 divided by 2. \\(\\dfrac{\\sqrt{3}}{2}\\) 3. Limits. by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams.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. 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.9k points) For sin 20 degrees, the angle 20° lies between 0° and 90° (First Quadrant ). = 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. 01:15. CBSE Commerce (English Medium) Class 11. asked Feb 10, 2022 in Trigonometry by Architakumari (44. Free math problem solver answers your trigonometry homework questions with step-by-step explanations. Advertisement. Prove that: Sin 10° + Sin 20° + Sin 40°+ Sin 50° = Sin 70°+ Sin 80° View Solution.If sin x = 1/6 then find the value of sin 3x ? Q5. Tính giá trị các biểu thức sau: sin10. 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 . sin20^(@)sin40^(@)sin60^(@)sin80^(@) 03:43.S.98481.4k points) transformation formulae; The value of sin 20° sin 40° sin 80° is. 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.6k points) trigonometry; 0 votes. The value of sin 20° sin 40° sin 80° is. The sin of 80 degrees is 0. The value of sin 20° sin 40° sin 80° is. = 1 2 [ cos 20 ∘ − 1 2] sin 80 ∘. Prove the following identity: 4(cos^3 10^0+sin^3\ \ 20^0)=\ 3\ (cos 10 02:13.6k 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. Step 1: Use sin C + sin D rule. The value of sin 20° sin 40° sin 60° sin 80° is _____. We would like to show you a description here but the site won’t allow us. The sine function finds the unknown angle or sides of a right triangle. D 4. Morrie's law. Step-2 : Evaluating sin 20 ° sin 40 ° sin 80 °. (vii) tan 3A - tan 2A - tan A = tan 3A .sin50. (d) 4 tan 6x. 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. M. sin20°sin40°sin60°sin80°. (c) 3 tan 6x. Question. (a) tan 6x. asked Jun 8, 2021 in Trigonometry by rahul01 (29. . Use app Login. Morning brainteaser: Prove sin (10)*sin (50)*sin (70) = 1/8.H. by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams. So we have a form Nilai eksak dari sin 20 sin 40 sin 80 adalah . Prove that sin10+sin 30+sin 50+sin 70 =root3÷16. #=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.)1 enis ehT . Remember that cos (- x) = cos (x). Click here:point_up_2:to get an answer to your question :writing_hand:the value of sqrt3cosec 20circsec 20circ is equal to.sin(60-20).. Cite. Advertisement. 1 answer. Sin 40 / sin Question. asked Jun 30, 2022 in Mathematics by GovindSaraswat (45. cos 40° cos 60°. … Prove that : sin 20° sin 40° sin 80° = √3/8. Jack D'Aurizio Jack D'Aurizio. sin(80) + sin(60) - sin(80) divided by 4. Syllabus. 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 sin 20° sin 40° sin 80° is. 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. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. We need to prove this equation. Textbook Solutions 7402. 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. 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. 1 answer. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. What is cos 3C equal to ? Q3.1 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. After that, you can start your calculations. Q2. Prove that : sin 20° sin 40° sin 80° = √3/8 Use app ×. NCERT Solutions. Solve your math problems using our free math solver with step-by-step solutions. Click here👆to get an answer to your question ️ Prove that: sin 20^∘ sin 40^∘ sin 60^∘ sin 80^∘ = 316.sin 80° = \(\frac{3}{16}\) (vi) tan 70° = tan 20° + 2 tan 50°. sin80° = 0. Open in App. The Greeks focused on the calculation of chords, while mathematicians in India created the earliest iii) sin 20 ∘ sin 40 ∘ sin 80 ∘ = √ 3 8. ∴ X = 1 2 (sin60∘sin20∘)(2sin80∘sin40∘) Using , Product Identity.. A 1. 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.4k points) trigonometry; Hence, the value of sin 20° sin 40° sin 60° sin 80° is 3/16.4k points) trigonometry; class-11; 0 votes. 计算过程:. x→−3lim x2 + 2x − 3x2 − 9.S.There are six common trigonometric functions for an angle. asked Mar 4, 2022 in Trigonometry by Harshwardhan (72. = sin 20°· sin 40°· sin 60°· sin 80° = 3 2 ⋅ sin 20 ∘ ⋅ sin 40 ∘ ⋅ sin 80 ∘ . 07:34. Prove the following: cos 20° cos 40° cos 60°cos 80° = 1/16. 举报. All arguments are in degrees. Answer. Since the sine function is a periodic function, we can represent sin 80° as, sin 80 degrees = sin (80° + n × 360°), n ∈ Z. 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.H. 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. Use app Login. Gelfand [in English]. Calculation: We have.98481, the same as sin of 80 degrees in radians. If you want sine 80° with higher Doubtnut is No. C 3 . by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams. Similar Questions. It forms a qua … View Solution. asked Nov 17, 2020 in Trigonometry by Darshee (49. To obtain 80 degrees in radian multiply 80° by π / 180° = 4/9 π. Recommended Questions Nilai eksak dari sin 20 sin 40 sin 80 adalah . Step by step video & image solution for Prove that, sin20^@sin40^@sin80^@=sqrt3/8. 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. 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. I have been stuck for quite some time! Thank you in advance. Since sine function is positive in the first quadrant, thus sin 20° value = 0. Mathematics.. Solve Study Textbooks Guides.125. Solve Study Textbooks Guides.

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sin 20∘sin 40∘sin 60∘·sin 80∘=3 / 10. Formula to be used: We know that 2 sin A sin B = cos A 15.stimiL .id yuk latihan soal ini!sin 20 sin 40 sin 80= . Standard IX.4k points) trigonometry; Hence, the value of sin 20° sin 40° sin 60° sin 80° is 3/16. Stay tuned to BYJU’S – The Learning App and download the app to learn more formulas. = 1 2 [ cos ( 20 ∘ − 40 ∘) − cos ( 20 ∘ + 40 ∘)] sin 80 ∘. Solve.°08 niS +°07 niS = °05 niS +°04 niS + °02 niS + °01 niS :taht evorP .S. sin (100) + sin(60) - sin(80) divided by 4. 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. ∴ X = 1 2 (sin60∘sin20∘)(2sin80∘sin40∘) Using , Product Identity. 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. Q 5. Answer 3 people found it helpful Massu663 Answer: L . Use app Login. Here the given expression is . 2cos x sin y = sin (x+ y) - sin (x-y) Dari soal akan dicari nilai sin 80° sin 40° sin 20°.IG CoLearn: @colearn. asked Jun 8, 2021 in Trigonometry by rahul01 (29.H. 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. 解答一. Q.id yuk latihan soal ini!Nilai eksak dari sin 20 View Solution.sin30. 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. cos 80° = \(\frac{1}{16}\) (iv) (v) sin 20°. Class 12 MATHS TRIGONOMETRIC FUNCTIONS - SUM AND DIFFERENCE OF ANGLES - FOR BOARDS. Similar Questions. Fill in the Blanks Trigonometric Proof. Syllabus. Matrix. Guides. 1 answer.IG CoLearn: @colearn. 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. 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. Solve your math problems using our free math solver with step-by-step solutions. sin20^@ sin 40^@ sin 60^@ sin 80^@ The value of. Syllabus. NCERT Solutions For Class 12 Physics; =>√3/2[sin20.H. Q. by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams. Step by step video & image solution for Prove that sin 20^(@) sin 40^(@) sin 80^(@) = (sqrt3)/(8).If cos x = -1/2 then find the value of cos 3x ? Q4. 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. asked Jun 8, 2021 in Trigonometry by rahul01 (29. 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. Click here:point_up_2:to get an answer to your question :writing_hand:prove that sin 40 circ cos 70 circ. 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.71 ⋅sin46)/2. View Solution. 04:35. Prove that: Sin 10° + Sin 20° + Sin 40°+ Sin 50° = Sin 70°+ Sin 80°. Prove that : tan 20° tan 40° tan 60° tan 80° = 3. Question Prove that, sin20∘sin40∘sin80∘ = √3 8 Solution Verified by Toppr We have, L. Similar Questions. Maharashtra State Board HSC Arts (English Medium) 11th Standard. Prove that (i) cos 20° cos 40° cos 80° = 1/8 (ii) tan 20° tan 40° tan 80° = √3. View Solution. Trigonometric Ratios of Allied Angles. The problem is to prove that. = sin20+ sin40 - sin 80. 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 sin 20 sin 40 sin 80 [sin (20)sin (40)]sin 80 divided by 2. = 2 sin30 cos10 - sin 80. Arithmetic. ⇒ 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. 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. sin 20 ∘ sin 40 ∘ sin 60 ∘ sin 80 ∘ = 3 16. 2sinxsiny = cos(x −y) − cos(x + y),f or,x = 80,y = 40. Differentiation. 1 answer.evloS . -2 sin x sin y = cos (x +y) - cos (x- y) 4. Prove that: i) sin20^(@)sin40^(@)sin60^(@)sin80^(@)=3/16 ii) sin10 Solve: sin 10 + sin 20 + sin 40 + sin 50.4k points) trigonometry; class-11; 0 votes. Advertisement. 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. 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. Study Materials. It is asked in the section "Double the angle". In triangle ABC, P is an interior point such that $ \angle PAB = 10°. So, develop sinx = 4sin10°sin40°sin70°cosx − 4sin10°sin40°cos70°sinx. Join / Login. View Solution. Solution. 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}.89842541528951E-16 Sine, in mathematics, is a trigonometric function of an angle. since,sin60=√ 3/2 = √ 3/2( sin20sin40sin80) Here is a completely different approach. The value of sin20^@ sin40^@ sin60^@ sin80^@ 03:29.3420201. 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. 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 °. Untuk menyelesaikan persoalan ini, kita dapat menggunakan rumus sinus komponens: sin (A + B) = sin A cos B + cos A sin B. Prove that : tan 20° tan 40° tan 60° tan 80° = 3. Trigonometry is a branch of mathematics concerned with relationships between angles and ratios of lengths. Step by step video, text & image solution for Prove that sin 20^(@) sin 40^(@) sin 60^(@) sin 80^(@)=3/(16). This problem is found in "Trigonometry" by I. ADVERTISEMENT. Important Solutions 22. asked Mar 18, 2020 in Trigonometry … Explanation: For sin 80 degrees, the angle 80° lies between 0° and 90° (First Quadrant ). Login. Concept Notes = `sqrt(3)/8[sin(80^circ + 20^circ) + sin(80^circ - 20^circ) - … Trigonometry.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) 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. Question.4k points) trigonometry; class-11; 0 votes. asked Mar 4, 2022 in Trigonometry by Harshwardhan (72.2018 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. = 1 2 … Modified 8 years, 5 months ago. Question 20. Since the sine function is a periodic function, we can represent sin 20° as, sin 20 degrees = sin (20° + n × 360°), n ∈ Z. Prove that (iii) cos 20° .S.sin20osin40osin80oOn multiplying and divide by 2 and we get,⇒ 1 2[2sin20osin40osin80o]⇒ 1 2[cos(20o −40o)−cos(20o+40o)]sin80o⇒ 1 … Trigonometry. To find: sin 20° sin40° sin60° sin80° = 3/16. Concept Notes & Videos 206. \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. You got this correctly. Login.10. Solve your math problems using our free math solver with step-by-step solutions. Prove that : sin 20° sin 40° sin 80° = √3/8. Class 12 MATHS QUESTION BANK.sin70 câu hỏi 4455836 - hoidap247. Trigonometric Ratios of Allied Angles. Since sine function is positive in the first quadrant, thus sin 80° value = 0.000/bulan. You can find sine of angle B using sine rule: sinβ = (2. NCERT Solutions. ∴ 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. asked Feb 10, 2022 in Trigonometry by Architakumari (44. 2sinxsiny = cos(x −y) − cos(x + y),f or,x = 80,y = 40. 04:35. What is Trigonometry? Trigonometry the area of mathematics that deals with particular angles' functions and how to use those functions in calculations. Integration. by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams. Mathematics. \\(\\dfrac{\\sqrt{3}}{8}\\) 4. 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。. Important Solutions 13. 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.6k points) trigonometry; Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. 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. by Maths experts to help you in doubts & scoring excellent marks in Class 12 exams. 关注. Up to sign off 560 degrees. ⇒ sin 20° = sin 380° = sin 740°, and so on. Sin 80degrees = sin (4/9 × π). cos (180°-x) = -cos x 3. Integration. Prove that : sin 20° sin 40° sin 80° = √3/8. Concept Notes & Videos 127. 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. We hope the given NCERT MCQ Questions for Class 11 Maths Chapter 3 Trigonometric Functions with Answers Pdf free download will help you. Let's once again start by applying the identity 'sin (s)sin (t) = - cos (s + t) + cos (s - t) / 2. Step by step video & image solution for Prove that sin 20^@ sin 40^@ sin 60^@ sin 80^@=3/16. \\(\\dfrac{1}{8}\\) Ikut Bimbel online CoLearn mulai 95. Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step Solution.i[ snoitidda elgna soc/nis eht wonk I taht emussa ,oS . 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. \begin {aligned} &\sin10 Linear equation.5$.] as well as everything learned prior. . Stay tuned to BYJU'S - The Learning App and download the app to learn more formulas. asked Mar 18, 2020 in Trigonometry by Prerna01 (52 1 answer.9848077. 5.

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Follow answered Jul 12, 2016 at 18:49. We are given the equation cos (20°) (cos (40°) (cos (60°) (cos (80°) = √3 / 8.21984631… 0. asked Feb 10, 2022 in Trigonometry by Architakumari (44. Ikut Bimbel online CoLearn mulai 95. 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. 2sin(80)cos(20)-sin 80 divided by4. Solve Prove that: "sin"20^0"sin"40^0"sin"60^0"sin"80^0=3/(16) 01:25. Answer. Updated on: 21/07/2023. asked Mar 4, 2022 in Trigonometry by Harshwardhan (72.98481. Doing that, you obtain a linear trigonometric equation of the form Acosx + Bsinx = C, for which a general solution is known. 1 answer. Determine whether sin (10)*sin (50)*sin (70) = 1/8 exactly, or just comes very close to 0. 05:15.35. Our results of sin80° have been rounded to five decimal places. View Solution. 1 answer. 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) =0.6k points) trigonometry; 0 votes. Prove the following: sin 20° sin 40° sin 60° sin 80° = 3/16. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. asked Feb 10, 2022 in Trigonometry by Architakumari (44.$$ 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$. Step by step video & image solution for Prove that sin 20^0 sin 40^0 sin 80^0 = sqrt(3)/8. Step 2: We can use the identity. ⇒ 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. 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. Morrie's law is a special trigonometric identity. - Mathematics . View Solution. Show that sin10∘+sin20∘+sin40∘+sin50∘ =sin70∘+sin80∘. Advertisement.x6 nat 2 )b( . sin10∘ + sin20∘ + sin40∘ + sin50∘ = sin70∘ + sin80∘ sin 10 ∘ + sin 20 ∘ + sin 40 ∘ + sin 50 ∘ = sin 70 ∘ + sin 80 ∘. sin 60.com Find the value of sin 20 degree sin 40 degree sin 80 degree Get the answers you need, now! prathemesh9654 prathemesh9654 12. asked Feb 10, 2022 in Trigonometry by Architakumari (44. Textbook Solutions 11871. 1 + 4 sin 2 A Prove the following: sin 20° sin 40° sin 80° = 38 .98481. 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. = (cos20°sin80°-cos60°sin80°)sin60°/2. Get the answer to this question along with unlimited Maths questions and prepare better for JEE 2020 exam. View Solution. Simultaneous equation.S. Standard XII.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. The value of sin200sin400sin800 is Q.In a triangle ABC, a = 4, b = 3, c = 2. 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. Solution : Step 1 of 2 : Write down the given expression . Similar Questions. = 2 sin (20+40)/2 cos (40-20)/2 - sin80. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. B 2 . 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.IIX dradnatS . by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams. In this case if we focus on the expression 'cos (20°) (cos (40°),' s would be = 20°, and t = 40°. sin 20 derajat x sin 40 derajat x sin 80 derajat= . The Golden Quadrilateral is a national highway network connecting several major industrial, agricultural and cultural centres of India. I've check other sources and they say to use Morrie's Law, however I have not actually learned it in the book. Study Materials. Tonton video. ⇒ sin 80° = sin 440° = sin Prove that : sin 20° sin 40° sin 80° = √3/8 Use app ×. Prove that: Solving a triangle given two side lengths and the measure of a non-included angle. The value of sin 20^(@) sin 40^(@) sin 60^(@) sin 80^(@) is equal to. =2x1/2 cos10 - sin80. Guides. Solution. Sin40/sin80 + sin80/sin20 - sin20/sin40 A 1 B 2 C 3 D 4 Q. See answers I will mark the first to answer as brainliest, pls answer.S. asked Mar 18, 2020 in Trigonometry by Prerna01 (52.21984631 … Let , X = sin20∘sin40∘sin60∘sin80∘. Advertisement Advertisement New questions in Math. Explanation: Let , X = sin20∘sin40∘sin60∘sin80∘. Its name is due to the physicist Richard Feynman, who used to refer to the identity under that name. 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.e. tan 2A tan A. Open in App. 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.QCM . cos 60° = 1/2 2.H. NCERT Solutions For Class 12. 1 answer. \\(\\dfrac{1}{2}\\) 2. Textbook Solutions 9040. [ ∵ 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 ). Prove the following: cos 20° cos 40° cos 60°cos 80° = 1/16. Join / Login. 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. Exact Form: sin(40)sin(20) sin ( 40) sin ( 20) Decimal Form: 0. Click here:point_up_2:to get an answer to your question :writing_hand:prove thatsin20 sin40 sin60 sin80dfrac316. I know the value of sin 30° but what about others? Original problem. View Solution. 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. = cos10 - sin (90- 10) =cos10 - … Prove the following : sin 20° sin 40° sin 60° sin 80° = 316 .9848077. .H. = 1 2 [ 2 sin 20 ∘ sin 40 ∘] sin 80 ∘. Guides.29 = 0.4k points) transformation formulae; class-11; 0 votes.4k points) transformation formulae; class-11; 0 votes. Sin40/sin80 + sin80/sin20 - sin20/sin40 . The value of sin 20^(@) sin 40^(@) sin 60^(@) sin 80^(@) is equal to. I have been stuck for quite some time! Thank you in advance. ∫ 01 xe−x2dx. 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. 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. Formula Used: sin (A + B) = sin A cos B + cosA sin B. The value of (sin 7x + sin 5x) / (cos 7x + cos 5x) + (sin 9x + sin 3x) / (cos 9x + cos 3x) is. View Solution. (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. sin 80° = 0. Viewed 10k times. Important Solutions 9. Step 2/8.. Given : sin20° cos40° + cos20° sin40° To find : The value of the expression . CBSE Commerce (English Medium) Class 11.8k points) jee main 2022; 0 votes.e. L H S = sin 20 ∘ sin 40 ∘ sin 80 ∘. Free math problem solver answers your trigonometry homework questions with step-by-step explanations. sin 20° sin 40° sin 60° sin 80°. = [cos (20°-40°)-cos (20°+40°)]sin80°sin60°/2. The double-angle formula states that sin (2θ) = 2sin (θ)cos (θ). 1 answer. 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. 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. 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。. Free math problem solver answers your trigonometry homework questions with step-by-step explanations. ∴ X = 1 2 (sin60∘sin20∘)(2sin80∘sin40∘) Using , Product Identity. asked Feb 10, 2022 in Trigonometry by Architakumari (44. 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 _____. Join / Login. Login. 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. . (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. Prove that : (cos 20^0 - sin 20^0)/(cos 20^0 + sin 20^0) = tan 25^0. 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 . underoot3/8. 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°. asked Mar 4, 2022 in Trigonometry by Harshwardhan (72. 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∘.H. 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. sin 80 degrees = 0. 积化和差公式. Step 1: We are given the equation. . Prove That: Sin 20° Sin 40° Sin 60° Sin 80° = 3 16 - Mathematics. cos(-20)-cos(60)sin60 divided by 2. Class 11 MATHS TRIGONOMETRIC FUNCTIONS. Study Materials. Solution L. Concept Notes & Videos 127.noitseuq eht evlos neht dna ,$)y + x( soc\ - )y - x( soc\ = y nis\x nis\2$ . Maharashtra State Board HSC Science (Computer Science) 11th Standard. Nilai eksak dari sin 20 sin 40 sin 80 adalah . hence proved-18 Prerequisite. asked Jun 8, 2021 in Trigonometry by rahul01 (29. 04:35.