Question

Find all solutions in the interval [0,2pi). For 4 sin(2x)=1.

Answer 1

4sin 2x = 1 -> sin 2x = 1/4 = 0.25.
Calculator gives 0.25 = sin 14.08.
Unit circle gives another arc that has the same sin value: 0.25 = sin (180 - 14.48)= 165.52
There are 2 answers:
a) 2x = 14.48 -> x = 7.24 deg
b) 2x = 165.52 -> x = 82.76.