JEE Main 2002Annual, Paper 1MathematicsHardTrigonometry118× since 2002cot−1(cosα)−tan−1(cosα)=x,{\cot ^{ - 1}}\left( {\sqrt {\cos \alpha } } \right) - {\tan ^{ - 1}}\left( {\sqrt {\cos \alpha } } \right) = x,cot−1(cosα)−tan−1(cosα)=x, then sin x is equal to :AOption A. tan2(α2){\tan ^2}\left( {{\alpha \over 2}} \right)tan2(2α)BOption B. cot2(α2){\cot ^2}\left( {{\alpha \over 2}} \right)cot2(2α)COption C. tanα\tan \alphatanαDOption D. cot(α2)cot\left( {{\alpha \over 2}} \right)cot(2α)CheckSkip · show solution
