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

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

A

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

B

`n pi + (-1)^(n)(pi)/(6) : n in Z`

C

`n pi + (-1)^(n+1)(pi)/(6) : n in Z` or `n pi +(-1)^(n)(pi)/(3) : n in Z`

D

`n pi + (-1)^(n)(pi)/(2) : n in Z` or `n pi +(-1)^(n)(pi)/(6) : n in Z`

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 sqrt(sin x)+ cos x = 0 then sin x =

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

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

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

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

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  6. {x in IR : cos 2x + 2 cos^(2) x - 2 = 0}=

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  7. If 4sin^(2)x-2 (1+sqrt(3))sin x + sqrt(3)=0 then theta =

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  8. If cosec^(2)theta - 3cosec theta + 2 = 0 then theta =

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

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

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

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

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

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

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

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

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

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

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

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

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