Solve over the interval (0,2π) sin4x½

Question

Solve over the interval (0,2π) sin4x½

please help!!

Answer 1

sin4x = 1/2; 4x = π/6 + 2πn; x = π/24 + πn/2 or 4x = 5π/6 + 2πn, x = 5π/24 + πn/2

n = 0, x = π/24 or x = 5π/24

n = 1; x = 13π/24 or x = 17π/24

n = 2; x = 25π/24 or x = 29π/24

n = 3; x = 37π/24 or π = 41π/24