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The most general value of theta satisfyi...

The most general value of `theta` satisfying both the equations `sin theta = 1//2, tan theta = 1//sqrt(3)` is

A

`2n pi + (pi)/(6)`

B

`2n pi - (7pi)/(6)`

C

`2n pi + (5pi)/(6)`

D

none

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Verified by Experts

The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC EQUATIONS -EXERCISE 1
  1. The solution set of cos 2 theta = cos^(2) theta is

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  2. The solution set of cos 2 theta = 2 sin^(2)theta is

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  3. The most general value of theta satisfying both the equations sin thet...

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  4. The solution set of cot theta = - sqrt(3), cosec theta = 2 is

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  5. The most general value of theta satisfies both the equations tan theta...

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  6. The solution set of sin 2theta = -1//sqrt(2) is

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  7. The solution set of 4 sin theta cos theta = 1 is

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  8. The solution set of sin 3 theta = (sqrt(10 + 2sqrt(5)))/(4) is

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  9. The solution set of cos 3theta = (sqrt(5)+1)/(4) is

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  10. The solution set of cos 2theta = (sqrt(3)-1)/(2sqrt(2)) is

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  11. The solution set of sec theta = 2 cos theta is

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  12. If x is an acute angle and sin (x + 28^(@))=cos (3x - 78^(@)), then x ...

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  13. The general solution of 2 sin^(2)theta - sin theta - 1 = 0 is

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  14. If sin^(10) x - cos^(10)x=1 then x =

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

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  16. If sqrt(sin x)+ cos x = 0 then sin x =

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  17. If 2sin x + cosec x = 3 then theta =

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  18. If cos^(2)theta - sin theta = 1//4 then theta =

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  19. If 4 cos theta - sec theta = 4 tan theta then theta =

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  20. If 3 cos 2theta + 2 = 7 sin theta then theta =

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