Find all the solutions of 2 sinx=1-cosx in the interval from 0° ≤x<360°

4 sin^2 = 1 - 2cos + cos^2

4 - 4 cos^2 = 1 - 2cos + cos^2
5cos^2 - 2cos - 3 = 0

cosx = 1 or -.6

x = 0 or 126.86°