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cot^(2) theta ((sec theta -1)/(1+ sin th...

`cot^(2) theta ((sec theta -1)/(1+ sin theta ))+ sec^(2) theta ((sin theta -1)/( 1+ sec theta ))`=

A

0

B

1

C

`-4`

D

2

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 A ( TRIGONOMETRIC FUNCTIONS)
  1. ( sec theta + tan theta -1)/( tan theta - sec theta +1)

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  2. (cot theta + " cosec " theta -1)/(cot theta - " cosec " theta +1)=

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  3. cot^(2) theta ((sec theta -1)/(1+ sin theta ))+ sec^(2) theta ((sin th...

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  4. (2 sin theta * tan theta (1- tan theta ) + 2 sin theta sec^(2) theta )...

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  5. ((1+ sin theta - cos theta )/( 1+ sin theta + cos theta ))^(2)=

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  6. (1)/(sec alpha - tan alpha ) - (1)/( cos alpha)=

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  7. (1)/(sec^(4) alpha ) +(1)/("cosec"^(4) alpha ) +(2)/(sec^(2) alpha + ...

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

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

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

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

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

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

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  14. (1+ sin theta - cos theta )/( 1+ sin theta + cos theta ) + (1+ sin the...

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

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

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

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

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  19. 1-(sin^(2)y)/(1+ cos y) + (1+ cosy)/( sin y) - (siny)/(1- cos y) =

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

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