# Question #84c2f

Jan 11, 2018

x=30° or 150°

#### Explanation:

$2 \csc x - 2 = \csc x$
$2 \csc x - \csc x = 2$
$\csc x = 2$
This is possible when x is either 30° or 150°
The image below shows sine and cosine functions for different angles.

Hope it helps you

Jan 12, 2018

${30}^{\circ} , \mathmr{and} {150}^{\circ}$

#### Explanation:

2csc x - 2 = csc x
csc x = 2
$\sin x = \frac{1}{\csc x} = \frac{1}{2}$
Trig table and unit circle give 2 solutions:
$x = \frac{\pi}{6} , \mathmr{and} x = {30}^{\circ}$, and and $x = \frac{5 \pi}{6} , \mathmr{and} x = {150}^{\circ}$