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If t a n^2theta=2t a n^2varphi+1 , prove...

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

A

`-1`

B

0

C

1

D

none of these

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B
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
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  3. If t a n^2theta=2t a n^2varphi+1 , prove that cos2theta+s in^2varphi=0...

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

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

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

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  12. If 1+sinx+sin^2x+sin^3x+oo is equal to 4+2sqrt(3),0<x<pi, then x is eq...

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  14. If tan x =(2b)/ (a- c), y = acos^2 x + 2bsin x cos x + csin^2 x, z=as...

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  15. If alpha+beta+gamma=2pi, then show that tan.alpha/2 + tan.beta/2 + tan...

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  17. Within what limits must A/2 lies if 2sinA/2=-sqrt(1+sinA)-sqrt(1-sinA)...

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  18. If 2cos""(A)/(2)=sqrt(1+sinA)+sqrt(1-sinA), thenA/2 iles between,

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  19. Find the angle theta whose cosine is equal to its tangent.

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  20. Prove that cos((2pi)/(15))cos((4pi)/(15))cos((8pi)/(15))cos((14pi)/(15...

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