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The set of solutions of the equation (sq...

The set of solutions of the equation `(sqrt(3)-1)sin theta + (sqrt(3) +1)cos theta = 2` is :

A

`{2n pi pm (pi)/(4)+(pi)/(12): n in Z}`

B

`{2n pi pm (pi)/(4) - (pi)/(12) : n in Z}`

C

`{n pi (-1)^(n) (pi)/(4)+(pi)/(12) : n in Z}`

D

`{n pi + (-1)^(n)(pi)/(4) - (pi)/(12) : n in Z}`

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC EQUATIONS -EXERCISE 1
  1. If sqrt(3) cos theta - sin theta = 1 then theta =

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

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

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  4. If sec x - cosec x = 2sqrt(2) then theta =

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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