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  4. If tan((x/2))=cosec x-sin xthen tan2((x/2))is equal to

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Q. If $tan\left(\frac{x}{2}\right)=cosec\,x-sin\,xthen\,tan^2\left(\frac{x}{2}\right)$is equal to

Solution:

Correct answer is (b) $\sqrt{5}-2$