If \( x=\sec \theta-\cos \theta \) and \( y=\sec ^{n} \theta-\cos ^...
If \( x=\sec \theta-\cos \theta \) and \( y=\sec ^{n} \theta-\cos ^{n} \theta \), then show that
\[
\left(x^{2}+4\right)\left(\frac{d y}{d x}\right)^{2}=n^{2}\left(y^{2}+4\right) \text {. }
\]
\( \mathrm{P} \) (1989, 2M)
W)
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