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If 3sinx+4cosx=5 then the value of tan(x...

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

A

`(1pmsqrt(2))/(4)`

B

`(-1pmsqrt(2))/(4)`

C

`(-1pmsqrt(2))/(3)`

D

`1//3`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-TRIGONOMETRIC EQUATIONS-Exercise-II
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  2. The set of solutions of the equation (sqrt(3)-1)sin theta + (sqrt(3) +...

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

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

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

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

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

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

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

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

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

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

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

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  14. If sinA=sinBandcoA=cosB then A =

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  15. If tantheta+tan4theta+tan7theta=tanthetatan4thetatan7theta then theta ...

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  16. If (1+tantheta)(1+tanphi)=2 then theta+phi =

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  17. If tan theta + tan(60^(@)+theta)+tan (120^(@)+theta)=3, then theta =

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  18. If log(2)sinx-log(2)cosx-log(2)(1-tan^(2)x)=-1 then x =

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  19. If 1+sin x + sin^(2)x +….oo = 4 + 2sqrt(3), 0 lt x lt pi, x ne pi//2 t...

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  20. Find all values of x in (-pi,pi) satisfying the equation 8^(1+cosx+cos...

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