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If r sin theta = sqrt(3), r + 4 sin thet...

If `r sin theta = sqrt(3), r + 4 sin theta = 2(sqrt(3)+1), 0 le theta le 2pi`, then `theta =`

A

`(pi)/(4),(pi)/(3), (pi)/(6),(2pi)/(3)`

B

`(pi)/(6), (pi)/(3), (5pi)/(6), (2pi)/(3)`

C

`(pi)/(2), (pi)/(3), (pi)/(5), (5pi)/(3)`

D

none of these

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC EQUATIONS -EXERCISE 1
  1. If cosec^(2)theta - 3cosec theta + 2 = 0 then theta =

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  2. If 4cos^(2)x sin x - 2 sin^(2)x=3sinx, then x =

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  3. If r sin theta = sqrt(3), r + 4 sin theta = 2(sqrt(3)+1), 0 le theta l...

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  4. If alpha is a root of 25 cos^(2)theta + 5 cos theta - 12 =0, (pi)/(2) ...

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  5. The solution set of (5+4 cos theta) (2 cos theta + 1) =0 in the interv...

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  6. If sin^(2)x - cos x = 1//4 then the values of x in (0, 2pi) are

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  7. If 2cos^(2)theta + cos theta -1 =0 then theta =

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  8. If 2 sin^(2)theta = 3 cos theta, then the value of theta in [0, 2pi] a...

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

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  10. cos 2x=(sqrt(2)+1)(cos x - (1)/(sqrt(2))), cos x ne (1)/(2) rArr x in

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  11. If 2 sin theta + tan theta = 3 sin theta .cos theta then theta =

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  12. If 2+sqrt(3)sec x - 4 cos x = 2sqrt(3) then theta =

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  13. If 2sin^(2)x + sqrt(3) cos x + 1 =0, then theta =

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  14. If 6 sec^(2)theta - 5 sec theta + 1 = 0 then theta =

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  15. (cos 3theta)/(2cos 2theta-1)=(1)/(2) if

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  16. If cot theta - tan theta = sec theta, then theta =

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  17. If tan^(2)theta + tan theta - 2 = 0 then theta =

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  18. The solution set of tan^(2)theta - (1+sqrt(3))tan theta + sqrt(3) =0 i...

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  19. If (tan theta - 1)(tan^(2)theta - 3) = 0 then theta =

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  20. If 3 tna^(4)theta - 10 tan^(2)theta + 3=0 then theta =

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