1 2 sintheta cos2 theta a Find all solutions of the equati

1 - 2 sin(theta) = cos(2 theta) (a) Find all solutions of the equation. theta = (b) Find the solutions in the interval [0, 2 pi). theta =

1-2sin theta=cos 2theta

1-2sin²theta=1-2sin theta

2sin²theta-2sin theta=0

2sin theta(sin theta -1)=0

sin theta=0, sin theta =1

theta=pi n , 2pi n + pi/2

b. theta=0 pi/2,pi