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( tan theta)/( sec theta -1)-(tan theta ...

`( tan theta)/( sec theta -1)-(tan theta )/( sec theta + 1)=`

A

`2 sec theta `

B

`2 " cosec " theta `

C

`2 tan theta `

D

`2 cot theta `

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 A ( TRIGONOMETRIC FUNCTIONS)
  1. (1)/(sec^(4) alpha ) +(1)/("cosec"^(4) alpha ) +(2)/(sec^(2) alpha + ...

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  2. (cos A)/( 1+ sin A) +(cos A)/( 1-sin A )=

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  3. ( tan theta)/( sec theta -1)-(tan theta )/( sec theta + 1)=

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  4. The expression (tan A)/(1- cot A) + ( cot A )/( 1- tan A) can be writt...

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  5. (cos theta )/( sec theta + tan theta ) + ( cos theta )/( sec theta - t...

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  6. (tan A + tan B)/( cot A + cot B)+(1- tan A tan B)/( 1- cot A cot B)=

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  7. ( sec theta + tan theta )/("cosec " theta + cot theta ) -(sec theta - ...

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  8. (1+ sin theta - cos theta )/( 1+ sin theta + cos theta ) + (1+ sin the...

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  9. (sin^(2) theta )/(1- cot theta )+(cos^(2) theta )/( 1- tan theta ) =

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  10. ( cos^(3 ) theta )/( 1 + sin theta ) + ( sin^(3) theta )/( 1- cos thet...

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  11. ( tan^(3) theta )/( 1+ tan^(2) theta )+ ( cot^(3) theta )/( 1+ cot^(2)...

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  12. ( cos^(3) A + sin^(3) A )/( cos A + sin A ) + (cos^(3) A - sin^(3)A)/(...

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  13. 1-(sin^(2)y)/(1+ cos y) + (1+ cosy)/( sin y) - (siny)/(1- cos y) =

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

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

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

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

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

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

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

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