Find all solutions to the equation.

sin x = sqrt (3) / 2

We are asked to determine x from the function sin x = sqrt 3/2. In this case, the right hand side number belongs to the 30-60-90 triangle. Using a calculator, in degrees mode, we input in the calculator, arc sin sqrt 3/2 equal to 60 degrees or 120 degrees since it can be in quadrants 1 or 2.