Question

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

Answer 1

`sin x = 0.7`
First, calculator gives `x = 44.42 deg`.
The trig unit circle gives another arc `x = 180 - 44.42 = 135. 58 deg`, that has the same `sin` value `(0.7)`. Within the interval `(-180, +180)`, there are 2 answers:
`x_1 = 44.42 deg`
`x_2 = 135.58deg`