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If f(x)=Cos^(2)x+Cos^(2)2x+Cos^(2)3x the...

If `f(x)=Cos^(2)x+Cos^(2)2x+Cos^(2)3x` then the number of `x epsilon[0,2pi]` for which `f(x)=1` is

A

4

B

6

C

8

D

10

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-TRIGONOMETRIC EQUATIONS-Exercise-II
  1. If 5cos2theta+2cos^(2)""(theta)/(2)+1=0 and -piltthetaltpi, then find ...

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  2. {x inR: cos2x+2cos^(2)x=2} =

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  3. If f(x)=Cos^(2)x+Cos^(2)2x+Cos^(2)3x then the number of x epsilon[0,2p...

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  4. If rgt0,-pilethetalepi and r,theta satisfy rsintheta=3, r=4(1+sintheta...

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  5. If tantheta+3cottheta=5sectheta then theta=(ninz)

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

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  7. 3sinx+4cosx-6=0 then the general solution of x =

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  8. The equation kcosx-3sinx=k+1 is solvable only if K in

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  9. If (2+sqrt(3))cosx=1-sinx then x =

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

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

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

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

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

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

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

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

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

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

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

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