# Given that sin(theta) = -4/5, how do you find the two possible angles for θ, given that -pi < theta ≤ pi?

$\sin x = - \frac{4}{5} = - 0.8$
On the trig unit circle, there are 2 arcs that have the same sin value (-0.8), within the interval$\left(- \pi , \pi\right) .$
$x = 180 + 53.13 = 233.13 ,$ and
$x = 360 - 53.13 = 306.87$ deg