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If cos x cos 2x cos 3x=1//4, then x=...

If `cos x cos 2x cos 3x=1//4`, then x=

A

`(2n+1)(pi)/8, n pi +-(pi)/3, n in Z`

B

`(2n+1)(pi)/4, n pi +-(pi)/6, n in Z`

C

`(2n+1)(pi)/3, n pi +-(pi)/6 , n in Z`

D

`(2n+1)(pi)/6, n pi +-(pi)/3, n in Z`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-TRIGNOMETRIC EQUATIONS-PRACTICE SHEET (EXERCISE -I LEVEL -I STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. The general value of theta satisfying the equation 2sin^(2)theta-3 sin...

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  2. If sin 2 theta+cos theta =0 then theta=

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  3. If cos x cos 2x cos 3x=1//4, then x=

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  4. Solution of cot^(2)theta+[sqrt(3)+1/(sqrt(3))]cot theta+1=0 is

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

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  6. The general solution of sin^(2)x-2cosx+(1)/(4)=0 is

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  7. The solution of the equation sec theta - cosec theta =4/3 is

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  8. All the values of x satisfying sin2x+sin4x=2sin3x are

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  9. If 3 cos x ne 2 sin x, then the general solution of sin^(2) x - cos 2x...

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  10. Solve 2sin^(2)x+sin^(2)2x=2

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  11. IF cos theta ne 0, and sec theta-1=(sqrt2-1) tan theta then theta=

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  12. If 4 cot 2 theta=cot^(2)theta-tan^(2)theta then theta=

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  13. The solution of 4 sin^(2) x + tan^(2) x + cosec^(2) x + cot^(2) x - 6 ...

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  14. If tan theta + tan 2theta = tan 3theta, then theta =

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  15. Which of the following is true for z=(3+2i sin theta)//(1-2 i sin thet...

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  16. If 3 tan ^(2) theta - 2 sin theta = 0 " then " theta =

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  17. If sin 3 theta - sin theta = 4 cos ^(2) theta - 2 " then " theta =

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  18. Find the general solution for each of the following equations : tant...

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  19. The number of solutions of the equation cos^(2)(pi)/3 cos x-(8pi)/3=1 ...

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  20. The number of roots of the equation 2 sin^(2)theta + 3 sin theta + 1 =...

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