find all solutions

Question

Find all solutions exactly on the interval 0≤θ<2⁢π.

2sin (2 0)=1

Answer 1

sin(2θ) = 1/2; 2θ = π/6 + 2πn; θ = π/12 + πn, or 2θ = 5π/6 + 2πn; θ = 5π/12 + πn;

Then set n = 0 θ = π/12 or θ = 5π/12;

n = 1; θ = 13π/12 or θ = 17π/12