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If tan^(2)theta = (1-e^2) show that sec ...

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

A

`(2+e^(2))^(3//2)`

B

`(1+e^(2))^(3//2)`

C

`(2-e^(2))^(3//2)`

D

`(1-e)^(3//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)
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  8. If sin theta 1+ sin theta 2+ sin theta 3=3 " then " cos theta 1 + cos...

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  9. If sin theta , cos theta are ther roots of the equation ax^(2)-bx+c...

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  11. If k=( sec A + tan A) ( sec B+ tan B) sec C + tan C)=(sec A - tan A)(s...

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  12. If sec theta =a+(1)/(4a) " then " sec theta + tan theta =

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  13. If "cosec " theta =p+(1)/(4p) , " then cosec " theta + cot theta =

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  14. If "cosec"^(2) theta = (4xy)/((x+y)^(2)), then

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  15. If a sin x = b cos x =(2c tan x )/(1- tan^(2) x) " then " ((a^(2)-b^(...

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  16. If (2 sin theta )/(1+ cos theta + sin theta )=x, find the value of (1...

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  20. If x=a cos^(3) theta , y= a sin^(3) theta then

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