# How do you use csctheta=5 to find sintheta?

Jan 3, 2017

$\csc \theta = 5$
$\frac{1}{\sin} \theta = 5$
$1 = 5 \sin \theta$
$\sin \theta = \frac{1}{5}$

Jan 3, 2017

$\frac{1}{5}$

#### Explanation:

$\csc \theta = \frac{1}{\sin \theta}$ hence $\sin \theta = \frac{1}{\csc} \theta$

Thus if $\csc \theta$ is 5, $\sin \theta$ would be $\frac{1}{5}$