use a double or half angle formula to solve the equation in

use a double or half angle formula to solve the equation in the interval [0,2pi).

2sin^2theta = 2+ cos2theta

use a double or half angle formula to solve the equation in the interval [0,2pi).

2sin^2theta = 2+ cos2theta

2sin² = 2+ cos2

2sin² = 2+ (1-2sin²)

2sin² = 3-2sin²

4sin² = 3

sin² = 3_/4

sin =- (3)_/2,sin = (3)_/2

=4/3,5/3 , =/3,2/3

=/3,2/3 ,4/3,5/3