^ -1 ( )- ^ -1 ( )= x , then sin x is equal to
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
\(\cot ^{-1}(\sqrt{\cos \alpha})-\tan ^{-1}(\sqrt{\cos \alpha})=\mathrm{x},\) then sin x is equal to
- \(\tan ^{2}\left(\frac{\alpha}{2}\right)\)
- \(\cot ^{2}\left(\frac{\alpha}{2}\right)\)
- tan α
- \(\cot \left(\frac{\alpha}{2}\right)\)
Answer
(A) ^ 2 ( 2 )
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