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((sqrt(3) + 2 cosA)/( 1-2 sin A ))^(-3) ...

`((sqrt(3) + 2 cosA)/( 1-2 sin A ))^(-3) + ((1+ 2 sin A )/( sqrt(3)-2 cos A ))^(-3)` =

A

1

B

`sqrt(3) `

C

`0`

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 A ( TRIGONOMETRIC FUNCTIONS)
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  2. 1-(sin^(2)y)/(1+ cos y) + (1+ cosy)/( sin y) - (siny)/(1- cos y) =

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  3. ((sqrt(3) + 2 cosA)/( 1-2 sin A ))^(-3) + ((1+ 2 sin A )/( sqrt(3)-2 c...

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  4. sin^(4) theta + 2 sin^(2) theta (1-(1)/("cosec"^(2) theta ) )+ cos^(4)...

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  5. If "cosec" theta + cot theta = -3//2 , then " cosec " theta =

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  6. If " cosec " theta - cot theta =1//3 then theta lies in the quadran...

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  7. If sec theta - tan theta =4//3 , then sin theta =

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  8. If cos theta - sin theta = sqrt(2) sin theta " then " cos theta + si...

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  9. cos theta - 4 sin theta = 1 implies sin theta + 4 cos theta =

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  10. If tan theta + cot theta =2 , " then " sin theta =

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  11. If sec theta + tan theta = p(p ne 0) , then sin theta =

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  12. If a = sin theta + cos theta , b =sin^(3) theta + cos^(3) theta , th...

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  13. sin theta + cos theta = p , sin^(3) theta + cos^(3) theta = qimpliesp(...

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  14. If sin theta + cos theta = a " then " sin^(4) theta + cos^(4) theta =

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  15. If a cos theta + b sin theta = c " then " (a sin theta - b cos theta...

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  16. If x=a ( " cosec " alpha + cot alpha) and y=(b(1- cos alpha))/(sin al...

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  17. If sec theta + cos theta =1 , " then " sec^(3) theta + cos^(3) theta...

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  18. If sin alpha + "cosec" alpha = 2, find value of sin^(n) alpha + "cosec...

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  19. If tan^(2)theta = (1-e^2) show that sec theta + tan^(3). "cosec" theta...

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  20. If sin theta + sin^(2) theta =1 , " then " cos^(2) theta + cos^(4) th...

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