Question

The value of $\underset{0}{\overset{\pi /6}{\int }}\frac{\cos x-\sin x}{1+\sin 2x}dx$ is

• A. $\tan \frac{\pi }{12}$
• B. $\tan \frac{\pi }{15}$
• C. $\tan \frac{\pi }{3}$
• D. $\tan \frac{\pi }{6}$

Answer 1

Answer: (A)

Put $\sin x+\cos x=t$ and proceed.