Question

\(\displaystyle \int_{0}^{\pi/2}\frac{\cos 2x}{\sin x+\cos x}\,dx=\)

• A. \(-1\)
• B. \(0\)
• C. \(1\)
• D. \(\frac{\pi}{2}\)

Hint:

Use \(\cos 2x=\cos^2x-\sin^2x=(\cos x-\sin x)(\cos x+\sin x)\). This helps in cancelling the denominator easily.

Answer 1

The Correct Option is B