If \( x=\operatorname{cosec} \theta-\sin \theta ; y=\operatorname{cosec}^{n} \theta-\sin ^{n} \t...
If \( x=\operatorname{cosec} \theta-\sin \theta ; y=\operatorname{cosec}^{n} \theta-\sin ^{n} \theta \), then
\[
\left(x^{2}+4\right)\left(\frac{d y}{d x}\right)^{2}-n^{2} y^{2}=
\]
(A) \( n^{2} \)
(B) \( 2 n^{2} \)
(C) \( 3 n^{2} \)
(D) \( 4 n^{2} \)
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