If ^ -1 ( )- ^ -1 ( )=x, then is equal to: - Vidyadip

MCQ

If $\cot^{-1}(\sqrt{\cos\alpha})-\tan^{-1}(\sqrt{\cos\alpha})=\text{x},$ then $\sin\text{x}$ is equal to:

✓
$\tan^2\Big(\frac{\alpha}{2}\Big)$
B
$\cot^2\Big(\frac{\alpha}{2}\Big)$
C
$\tan\alpha$
D
$\cot\Big(\frac{\alpha}{2}\Big)$

✓

Answer

Correct option: A.

$\tan^2\Big(\frac{\alpha}{2}\Big)$

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