A) \[\sin \frac{x}{2}\]
B) \[\tan \frac{x}{2}\]
C) \[\sec \frac{x}{2}\]
D) \[\text{cosec}\frac{x}{2}\]
Correct Answer: B
Solution :
\[\frac{\sqrt{1+\sin x}+\sqrt{1-\sin x}}{\sqrt{1+\sin x}-\sqrt{1-\sin x}}=\frac{\cos \frac{x}{2}+\sin \frac{x}{2}+\sin \frac{x}{2}-\cos \frac{x}{2}}{\cos \frac{x}{2}+\sin \frac{x}{2}-\sin \frac{x}{2}+\cos \frac{x}{2}}\] \[=\tan \frac{x}{2}\].
You need to login to perform this action.
You will be redirected in
3 sec
