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Ifpilt2thetalt(3pi)/2then sqrt(2+sqrt(2+...

If`pilt2thetalt(3pi)/2`then `sqrt(2+sqrt(2+2cos4theta)` is equal to

A

`(-2costheta)`

B

`(-2sin theta)`

C

`2costheta`

D

`2sintheta`

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The correct Answer is:
D
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PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. In a triangle ABC,sin A-cos B=cosC,then angle B is

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  2. If Un=2 cosntheta then U1Un-U(n-1) is equal to

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  3. Ifpilt2thetalt(3pi)/2then sqrt(2+sqrt(2+2cos4theta) is equal to

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  4. Ifcos5theta=acos^5theta+bcos^3theta+ccostheta then c is equal to

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  5. Let n be an odd integer if sin ntheta=underset(r=0)oversetnsumbrsin^rt...

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  6. if x in (-pi/2,pi/2) then the minimum value of cos^2x+(secx/4)is

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  7. The number of real solutions of the equation sin (e^x)=2^x+2^(-x) is

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  8. The maximum value of 4sin^2x+3cos^2x+sin(x/2)+cos(x/2) is

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  9. If sin^2theta=sinphi cosphi then the value of cos2theta is

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  10. If in a triangle ABC,sin^2A+sin^2B+sin^2C=2 then the triangle is alway...

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  11. If alpha and beta are solutions ofsin^2x+asinx+b=0 as well as ofcos^2x...

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  12. If thetane(2n+1)pi/2. ninI, then the least value of (sintheta+cosecthe...

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  13. If in a triangle ABC ,(sin A+sin B +sin C)(sinA+sinB-sin C)=3sinAsinB ...

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  14. Let n be a fixed positive integer such that sin(pi/(2n))+cos(pi/(2n))=...

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  15. Minimum value of4x^2-4x abs(sintheta)-cos^2theta is equal to

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  16. The maximum value of the expression abs(sqrt((sin^2x+2a^2))-sqrt((2a^2...

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  17. For 0ltthetaltpi/2 the solution of underset (m=1)overset6sumcosec(thet...

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  18. If tanalpha and tanbeta be the roots of the equation (x^2+px+q=0) then...

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  19. If tan9theta=3/4(where0ltthetaltpi/18)then the value of (3cosec 3theta...

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  20. If A,B,C are interior angles of a triangle ABC such that (cosA+cosB+co...

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