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sin36^@sin72^@sin108^@sin144^@=5/16...

`sin36^@sin72^@sin108^@sin144^@=5/16`

A

5

B

4

C

3

D

1

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

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

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  3. sin36^@sin72^@sin108^@sin144^@=5/16

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

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  5. If sinx+cosesx=2,thensin^(n)x+cosec^(n)x is equal to

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  6. If x/acosalpha+y/bsinalpha=1, x/acosbeta+y/bsinbeta=1 and (cos alpha c...

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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 value of sqrt3cot20^(@)-4cos20^(@) is

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  9. sqrt(3)cossec2 0^0-sec2 0^0

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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) , then show that (tanx)/(tany)=(...

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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 the value of tan^2(x/2) is

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  15. If cosA=3/4, then 32 sin, A/2 sin, (5A)/2= (A) sqrt(11) (B) -sqrt(11) ...

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  16. (1+cos.(pi)/(8))(1+cos.(3pi)/(8))(1+cos.(5pi)/(8))(1+cos.(7pi)/(8)) is...

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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=cos3theta where theta in (0,pi/2) , then sintheta is equa...

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  19. if y=cos^2theta+sec^2theta then

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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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