Solving trig identities

Question

[0, 2pi) Restriction.

 

2sin²Θ=1

Answer 1

2 sin^2(theta) = 1

sin^2(theta) = 1/2

sin(theta) = +- sqrt(2)/2

 

+ choice:

theta = pi/4, 7pi/4

 

- choice:

theta = 3pi/4, 5pi/4

 

Final answer: {pi/4, 3*pi/4, 5*pi/4, 7*pi/4}