If ^ -1 ( x )- ^ -1 ( x )= x , then x equals :
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
If \(\cot ^{-1}(\sqrt{\cos x})-\tan ^{-1}(\sqrt{\cos x})=\mathbf{x}\), then \(\sin x\) equals :
- \(\tan ^{2}\left(\frac{\pi}{2}\right)\)
- \(\cot ^{2}\left(\frac{\pi}{2}\right)\)
- \(\tan x\)
- \(\cot \left(\frac{\pi}{2}\right)\)
Answer
(D) ( 2 )
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