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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

2

C

0

D

`-1`

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The correct Answer is:
C
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ML KHANNA-TRIGONOMETRY RATIOS AND IDENTITIES-PROBLEM SET (4) ( MULTIPLE CHOICE QUESTIONS)
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  2. If sin(y+z-x), sin (z+x-y), sin (x+y-z) be in A.P., prove that tanx ta...

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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 A and B are positive acute angles satisfying the equalities 3 cos^(...

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  5. Givent that pi/2,alphaltpi then the expression sqrt((1-sinalpha)/(1+si...

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  6. If tanx=b/a , then sqrt((a+b)/(a-b))+sqrt((1-b)/(a+b)) is equal to 2s ...

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  7. If the angle A of a triangle ABC is given by the equation 5 cos A + 3 ...

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  8. If ABCD, is a cycling quadrilateral such that tanA-5=0and 5cosB+3=0, t...

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  9. If cos(A-B)=3/5and tan A tanB=2, then

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  10. If tan A and tan B are the roots of the quadratic equation x^(2)-px+q=...

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  11. The value of (3 + cot 76^(@)cot 16^(@))/(cot 76^(@) + cot 16^(@))=

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  12. ( 2 sec theta + 3 tan theta + 5 sin theta - 7 cos theta +5)/( 2 tan th...

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  13. The value of 16 sin 144^@ sin 108^@ sin 72^@ sin 36^@ is equal to

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  14. Find the value of:(1+cos""(pi)/(8))(1+cos""(3pi)/(8))(1+cos""(5pi)/(8)...

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  15. cos^(4) "" ( pi )/(8) + cos^(4) "" ( 3pi)/( 8 ) + cos^(4) "" ( 5pi )/(...

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  16. The value of sqrt3cot20^(@)-4cos20^(@) is

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

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  18. If A+B=pi/4, then (1+tan A) (1+tanB) is equal

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  19. If f (x) = ( cot x )/( 1+ cot x ) and theta +phi = ( 5pi )/( 4), then ...

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  20. If sin A + sin B =a and cos A + cos B = b, then cos ( A + B ) =

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