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If 3 sin x + 4 cos x = 5 then x =...

If `3 sin x + 4 cos x = 5` then x =

A

`2n pi - (pi)/(4) : n in Z` or `(2n pi)/(3)-(pi)/(4) : n in Z`

B

`2n pi +(pi)/(2) : n in Z` or `2n pi -(pi)/(3) : n in Z`

C

`2n pi + "Tan"^(-1)(3)/(4) : n in Z`

D

`2n pi + (pi)/(12) : n in Z` or `2n pi + (5pi)/(12) : n in Z`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC EQUATIONS -EXERCISE 1
  1. If sec x - cosec x = 2sqrt(2) then theta =

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  2. If (2+sqrt(3))cos x + sin x = 1 then theta =

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  3. If 3 sin x + 4 cos x = 5 then x =

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  4. If cot theta + cosec theta = sqrt(3) then theta =

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  5. If cosec x = 1 + cot x, then x =

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  6. All the values of x satisfying sin 2x + sin 4x = 2 sin 3x are

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

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  8. If 2 sin 2x - sin x = 0, then x =

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  9. If sqrt(1-cos x)=sin x then x =

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  10. The values of 'theta' satisfying sin7 theta = sin 4theta - sin theta i...

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  11. If sin 7theta + sin 4theta + sin theta = 0, 0 le theta le pi//2, then ...

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  12. If sin 6theta = sin 4theta - sin 2theta, then theta =

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

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

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

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

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

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

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

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

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