# If sin x = 0.7, how do you list all possible value of x if -180° < x < 180°?

$\sin x = 0.7$
First, calculator gives $x = 44.42 \mathrm{de} g$.
The trig unit circle gives another arc $x = 180 - 44.42 = 135. 58 \mathrm{de} g$, that has the same $\sin$ value $\left(0.7\right)$. Within the interval $\left(- 180 , + 180\right)$, there are 2 answers:
${x}_{1} = 44.42 \mathrm{de} g$
${x}_{2} = 135.58 \mathrm{de} g$