Question

Refer to the graph of y = sin x or y = cos x to find the exact values of x in the interval [0, 4π] that satisfy the equation. (Enter your answers as a comma-separated list.)
5 sin x = 5/2

Answer 1

However, it can be found by solving directly the equation
5 sin x = 5/2, implies  sin x = 1/2 and then x= arcsin(1/2)= Pi/6 +2kpi