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If cos theta + cos 2theta + cos 3theta =...

If `cos theta + cos 2theta + cos 3theta = 0` then `theta =`

A

`(2n+1)(pi)/(4) : n in Z` or `2n pi pm (2pi)/(3) : n in Z`

B

`(n pi)/(4) : n in Z` or `n pi pm (pi)/(6) : n in Z`

C

`n pi : n in Z` or `(2n+1)(pi)/(9) : n in Z`

D

`(2n+1)(pi)/(10) : n in Z` or `(2n pi)/(3) pm (pi)/(9) : n in Z`

Text Solution

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC EQUATIONS -EXERCISE 1
  1. If sin 6theta = sin 4theta - sin 2theta, then theta =

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  2. The values of theta satisfying sin 5theta = sin 3theta-sin theta and 0...

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  3. If cos theta + cos 2theta + cos 3theta = 0 then theta =

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  4. If cos 2theta + cos 8theta = cos 5theta then theta =

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  5. If cos 6theta + cos 4theta + cos 2theta +1 =0 for 0 le theta le pi the...

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  6. If sec x cos 5x + 1 =0, 0 lt x lt 2pi, then x =

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  7. If cos theta cos 2 theta cos 3theta = 1//4 for 0 lt theta lt pi then t...

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  8. If 4 sin x.sin 2x.sin 4x = sin 3x then theta =

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  9. If 4 cos theta.cos(120^(@)+theta).cos(120^(@)-theta)=1//2 then theta =

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  10. The sum of the solutions in (0, 2pi) of the equation cos x cos ((pi)/(...

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  11. If sin theta.sin (60+theta)sin (60-theta)=1//4 then theta =

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  12. If sin 3alpha = 4 sin alpha sin (x + alpha)sin(x-alpha), then x =

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

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  14. If tan theta + tan 2theta + tan 3theta = 0 then theta =

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

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  16. If tan theta + tan (pi//3+theta)-tan(pi//3-theta)=3 then theta =

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  17. The solution of sin 2 theta + cos 2theta + sin theta + cos theta + 1 =...

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  18. If cos 3x + cos 2x = sin (3x//2)+sin(x//2), 0 le x le 2pi, then x =

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  19. The solution set of sin 2theta - cos 2theta - sin theta + cos theta = ...

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  20. If sin x - 3 sin 2x + sin 3x = cos x - 3 cos 2x + cos 3x then x =

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