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a sin^(2) theta + b cos^(2) theta =c imp...

`a sin^(2) theta + b cos^(2) theta =c implies tan^(2) theta = `

A

`(b-c)/(a-c)`

B

`(c-b)/(a-c)`

C

`(a-c)/(b-c)`

D

`(a-c)/(c-b)`

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 A ( TRIGONOMETRIC FUNCTIONS)
  1. 3(sin x + cos x )^(4) + 6(sin x - cos x )^(2) + 4(sin^(6) x + cos^(6) ...

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  2. sin A ( cot A +3( 3 cot A + 1) -1 " cosec " A -10 cos A =

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  3. a sin^(2) theta + b cos^(2) theta =c implies tan^(2) theta =

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

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  5. "cosec"^(2) theta * cot^(2) theta -sec^(2) theta * tan^(2) theta - (co...

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  6. sec^(2)A tan^(2) B-tan^(2)A sec^(2) B=

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  7. 2 sec^(2) theta - sec^(4) theta - 2 "cosec"^(2) theta + " cosec"^(4) t...

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  8. sin^(2) alpha * tan alpha + cos^(2) alpha * cot alpha + 2 sin alpha co...

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  9. If (sin alpha + "cosec" alpha )^(2) + ( cos alpha + sec alpha )^(2)=k+...

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

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

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

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

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

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  15. (2 sin theta * tan theta (1- tan theta ) + 2 sin theta sec^(2) theta )...

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  16. ((1+ sin theta - cos theta )/( 1+ sin theta + cos theta ))^(2)=

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

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

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

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

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