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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-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
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  2. (1+cos.(pi)/(8))(1+cos.(3pi)/(8))(1+cos.(5pi)/(8))(1+cos.(7pi)/(8)) is...

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

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  9. If cos(theta-alpha) = a and cos(theta-beta) = b then the value of sin^...

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  11. Find the value of log tan1^0logtan2^0logtan89^0

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  13. If If x cosalpha+y sinalpha=2a, x cos beta+y sinbeta=2aand 2sin""(alph...

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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

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  17. If 2 sin""A/2=sqrt(1+sinA)+sqrt(1-sinA,)then A/2 lies between,

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

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  20. The value of cos((2pi)/(15))cos((4pi)/(15))cos((8pi)/(15))cos((14pi)/(...

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