# How to find the value of x where 0<=x<=360^@ for csc x= -1.3737?

Jun 1, 2015

$\csc x = \frac{1}{\sin} x = - 1.3737$ -> $\sin x = \frac{1}{-} 1.3737 = - 0.728$

On the trig unit circle:

-0.728 -> x = -46.71 or x = 360 - 46.71 = 313.29 deg

x = 180 + 46.71 = 226.71.

Within period$\left(0 , 2 \pi\right)$, there are 2 answers:

x = 226.71 and x = 313. 29 deg