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Prove that: sin36^0s in 72^0s in 108^0s ...

Prove that: `sin36^0s in 72^0s in 108^0s in 144^0=5/(16)dot`

A

5

B

4

C

3

D

1

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. The interior angles of a polygon are in A.P. the smallest angle is 120...

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  2. The maximum and minimum values of -4le5cos theta+3cos(theta+(pi)/(3...

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  3. Prove that: sin36^0s in 72^0s in 108^0s in 144^0=5/(16)dot

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  4. If A=tan6^0tan42^0 and B=cot66^0cot78^0 , then

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  5. If sinx+cosecx=2," then "sin^nx+cosec^nx is equal to

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  6. If (x)/(a) cos alpha+ (y)/(b) sin alpha = 1, (x)/(a) cos beta + (y)/(b...

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  7. The value of theta lying between 0 and pi/2 and satisfying |[1+sin^2th...

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  8. The vlaue of sqrt3cot20^(@)-4cos20^(@), is

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  9. Show that sqrt(3)\ cos e c\ 20^0-sec20^0=4.

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  10. The equation sin^2theta=(x^2+y^2)/(2x y),x , y!=0 is possible if

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  11. The value of sin(pi+theta)sin(pi-theta)cosec^(2)theta is equal to

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  12. If (sin(x+y))/(sin(x-y))=(a+b)/(a-b) , show that (tanx)/(tany)=a/b .

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  13. if sin x + sin^2 x = 1, then the value of cos^2 x + cos^4x is

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  14. If tan(x/2)=cosec x-sin x, then find the value of tan^(2) (x/2).

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  15. If cosA=3/4, then 32 sin (A/2) sin ((5A) /2)= ------------- ...

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  16. Prove that: (1+cos. (pi)/8)(1+cos. (3pi)/8)(1+cos. (5pi)/8)(1+cos. (7...

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  17. If t a n^2theta=2t a n^2varphi+1 , prove that cos2theta+s in^2varphi=0...

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  18. If sin2theta=cos3thetaa n dtheta is an acute angle, then sintheta equa...

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  19. If f(x)=cos^2theta+sec^2theta, then f(x)<1 (b) f(x)=1 2>f(x)>1 (d)...

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  20. The value of sinpi/(14)sin(3pi)/(14)sin(5pi)/(14)sin(7pi)/(14)sin(9pi)...

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