JEE Math Practice Question
$${\cot ^{ - 1}}\left( {\sqrt {\cos \alpha } } \right) - {\tan ^{ - 1}}\left( {\sqrt {\cos \alpha } } \right) = x,$$ then sin x is equal to :
- A.$${\tan ^2}\left( {{\alpha \over 2}} \right)$$
- B.$${\cot ^2}\left( {{\alpha \over 2}} \right)$$
- C.$$\tan \alpha $$
- D.$$cot\left( {{\alpha \over 2}} \right)$$
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