# cot ( cos ) tan ( cos ) x – – a- a= , then sin x =

Question:

$$\cot ^{-1}(\sqrt{\cos \alpha})-\tan ^{-1}(\sqrt{\cos \alpha})=x$$ then $\sin x=$

1. $\tan ^{2}\left(\frac{\alpha}{2}\right)$

2. $\cot ^{2}\left(\frac{\alpha}{2}\right)$

3. $\tan \alpha$

4. $\cot \left(\frac{\alpha}{2}\right)$

Correct Option: 1

JEE Main Previous Year 1 Question of JEE Main from Mathematics Inverse Trigonometric Functions chapter.
JEE Main Previous Year 2002

Solution:

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