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If x=sectheta-costheta,y=sec^(n)theta-co...

If `x=sectheta-costheta,y=sec^(n)theta-cos^(n)theta`, then `((dy)/(dx))^(2)` is :

A

`(n^(2)(y^(2)+4))/(x^(2)+4)`

B

`(n^(2)(y^(2)-4))/(x^(2))`

C

`n(y^(2)-4)/(x^(2)-4)`

D

`((ny)/(x))^(n)-4`.

Text Solution

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The correct Answer is:
A
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