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JEE MAIN - Mathematics Hindi (2002 - No. 15)

$${\cot ^{ - 1}}\left( {\sqrt {\cos \alpha } } \right) - {\tan ^{ - 1}}\left( {\sqrt {\cos \alpha } } \right) = x,$$ तब sin x का मान क्या है :
$${\tan ^2}\left( {{\alpha \over 2}} \right)$$
$${\cot ^2}\left( {{\alpha \over 2}} \right)$$
$$\tan \alpha $$
$$cot\left( {{\alpha \over 2}} \right)$$

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