Question

$\cot^{-1}(\sqrt{\cos\alpha})-\tan^{-1}(\sqrt{\cos\alpha})=x$, then sin x =
(a) $\tan^{2}\bigg \lgroup\frac{\alpha}{2}\bigg \rgroup$(b) $\cot^{2}\bigg \lgroup\frac{\alpha}{2}\bigg \rgroup$
(c) tan α
(d) $\cot\bigg \lgroup\frac{\alpha}{2}\bigg \rgroup$

Answer 1

lgroup\frac{\alpha}{2}\bigg \rgroup[/tex]

(c) tan α

(d) $\cot\bigg \lgroup\frac{\alpha}{2}\bigg \rgroup$