# Question #29edb

Jan 23, 2018

Here you go....

#### Explanation:

$\sin x \cdot \cos x = - \frac{1}{4}$
Multiplying with 2 on both sides, we have:
$2 \cdot \sin x \cdot \cos x = 2 \cdot - \frac{1}{4}$
or, $2 \cdot \sin x \cdot \cos x = - \frac{1}{2}$
or, $\sin 2 x = - \frac{1}{2}$
Thus, we can say:
$2 x = \frac{7 \pi}{2} \mathmr{and} 2 x = \frac{11 \pi}{2}$
So, we have:
$x = \frac{7 \pi}{2} \mathmr{and} x = \frac{11 \pi}{2}$ as your answer.