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If 2+sqrt(3)sec x - 4 cos x = 2sqrt(3) t...

If `2+sqrt(3)sec x - 4 cos x = 2sqrt(3)` 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:
B
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC EQUATIONS -EXERCISE 1
  1. cos 2x=(sqrt(2)+1)(cos x - (1)/(sqrt(2))), cos x ne (1)/(2) rArr x in

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. If 3 tan (theta - 15^(@))=tan (theta + 15^(@)), 0 lt theta lt pi then ...

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  16. The smallest value of 'theta' satisfying the equation sqrt(3) (cot the...

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  17. If a is any real number, the number of roots of cot x - tan x = a in t...

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  18. If sin A = sin B and cos A = cos B then A =

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  19. For what values of x in the first quadrant (2 tan x)/( 1- tan ^(2) x) ...

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  20. The set of values of x, for which (tan 3x - tan 2x)/(1+tan 3x tan 2x)=...

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