Question

If $\sin x \cos x = \frac{1}{4}$, then the general solution is:

• A. $x = n\pi + (-1)^n \frac{\pi}{6}$
• B. $x = \frac{n\pi}{2} + (-1)^n \frac{\pi}{12}$
• C. $x = \frac{n\pi}{2} + \frac{\pi}{12}$
• D. $x = n\pi \pm \frac{\pi}{6}$

Hint:

Multiplying by 2 to create $\sin 2x$ is the standard first step for trigonometric products of sine and cosine.

Answer 1

The Correct Option is B