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If 1+sin^(2)theta=3sinthetacostheta then...

If `1+sin^(2)theta=3sinthetacostheta` then the solution set in `[0,(pi)/(2)]` is

A

`{(pi)/(4),cos^(-1)(1//3)}`

B

`{(pi)/(4),tan^(-1)(1//2)}`

C

`{(pi)/(3),tan^(-1)(1//3)}`

D

`{(pi)/(6),sin^(-1)(1//3)}`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-TRIGONOMETRIC EQUATIONS-Exercise-II
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  6. If (2+sqrt(3))cosx=1-sinx then x =

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  7. If tantheta+sectheta=sqrt(3), then the principal value of (theta+(pi)/...

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  8. The set of solutions of the equation (sqrt(3)-1)sin theta + (sqrt(3) +...

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  9. If 3sinx+4cosx=5 then the value of tan(x//2) is

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  10. If sintheta+sin3theta+sin5theta=0,0lethetale(pi)/(2) then theta =

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  11. The solution set of sin7x+sin3x=sin2x+sin8x is (ninz)

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  12. The number of solutions of the equation sin5thetacos3theta=sin6thetaco...

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  13. The solution set of the equation sin3theta=4sintheta(sin^(2)x-sin^(2...

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  14. If the solutions of cosp theta+cosqtheta=0 are I A.P. the the common d...

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  15. If tan px = cot qx, then the solutions are in A.P. with common differe...

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  16. If sin((picottheta)/(4))=cos((pitantheta)/(4)) and theta is in the fir...

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  17. If tan(picostheta)=cot(pisintheta), then prove that cos(theta-(pi)/(4...

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  18. The solutions of the system of equations x+y=2pi//3 and cos x + cos y ...

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  19. If -pilexlepi,-pileylepi and the cosx+cosy=2 then cos(x-y) =

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