If \( \tan \frac{x}{2}=\operatorname{cosec} x-\sin x \), then the value of \( \tan ^{2} \frac{x}...
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If \( \tan \frac{x}{2}=\operatorname{cosec} x-\sin x \), then the value of \( \tan ^{2} \frac{x}{2} \), is
(A) \( 2-\sqrt{5} \)
(B) \( 2+\sqrt{5} \)
(C) \( -2-\sqrt{5} \)
(D) \( -2+\sqrt{5} \)
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