# How do you solve the identity  2 cot x = -3/2?

May 9, 2018

$x = 2.2143$

#### Explanation:

$2 \cot x = - \frac{3}{2}$

we will hit the two side by $\frac{1}{2}$

$\cot x = - \frac{3}{4}$

cotx is negative in second and forth quadrants

we will take ${\cot}^{-} 1$ to both side , we will get

$x = {\cot}^{-} 1 \left(- \frac{3}{4}\right)$

${\cot}^{-} 1$ is negative in the second quadrant

$x = 2.2143$