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If sin A , cos A and tan A are in G.P....

If ` sin A , cos A and tan A ` are in G.P. then ` cot^(6) A- cot^(2) A =`

A

0

B

`-1`

C

1

D

2

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 A ( TRIGONOMETRIC FUNCTIONS)
  1. If (sin alpha + "cosec" alpha )^(2) + ( cos alpha + sec alpha )^(2)=k+...

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  2. sin^(2) A cos^(2)B + cos ^(2) A sin^(2) B + sin^(2) A sin^(2) B+ cos^(...

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  3. If sin A , cos A and tan A are in G.P. then cot^(6) A- cot^(2) A =

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

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

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

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  7. (2 sin theta * tan theta (1- tan theta ) + 2 sin theta sec^(2) theta )...

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  8. ((1+ sin theta - cos theta )/( 1+ sin theta + cos theta ))^(2)=

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

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

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

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

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

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

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

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

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  17. (1+ sin theta - cos theta )/( 1+ sin theta + cos theta ) + (1+ sin the...

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

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

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

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