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

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

A

`2n pi pm (2pi)/(3):n in Z`

B

`2n pi pm (pi)/(3) : n in Z` or `2n pi pm (5pi)/(6) : n in Z`

C

`(2n+1)pi : n in Z` or `2n pi pm (pi)/(3) : n in Z`

D

`2n pi : n in Z` or `2n pi (pi)/(3) : 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
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  3. If 2cos^(2)theta + cos theta -1 =0 then theta =

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

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

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

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

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

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

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

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

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

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

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  17. If tan theta + tan 2theta + tan theta tan2theta =1 then theta =

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  18. If tan theta + tan 2theta + sqrt(3) tan theta tan 2theta = sqrt(3) the...

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  19. If tan x + tan 4x+tan 7x=tan x tan 4x tan 7x, then x =

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