Find all solution in 0 2pi State the solution in radians usi

Find all solution in [0, 2pi] State the solution in radians using the exact form, 2sin^2 theta - Squareroot2 sin theta = 0

Solution

2sin²theta-sqrt2sin theta=0

sqrt2 sin theta(sqrt2 sin theta -1)=0

sin theta=0 , sqrt2 sin theta -1=0

theta=arcsin0 , sin theta=1/sqrt2

theta=0,pi , theta=pi/4,3pi/4

theta=0,pi/4,3pi/4,pi