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If x=sectheta-costheta and y=sec^n theta...

If `x=sectheta-costheta` and `y=sec^n theta- cos^n theta` then show that `(x^2+4)((dy)/(dx))^2=n^2(y^2+4)`

A

`(x^2+4)((dy)/(dx))^2=n^2(y^2+4)`

B

`(x^2+4)((dy)/(dx))^2=x^2(y^2+4)`

C

`(x^2+4)((dy)/(dx))^2=(y^2+4)`

D

None of these

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The correct Answer is:
A
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