Solve the equation. (Find all solutions of the equation in the interval [0, 2𝜋). Enter your answers as a comma-separated list.) 9 sin(2x) sin(x) = 9 cos(x)

Answer 1

2sin²xcosx - cosx = 0; cosx(2sin²x - 1) = 0; cosx = 0; x = π/2 or x = 3π/2

2sin²x - 1 = 0; - cos2x = 0; cos2x = 0; 2x = π/2 or 3π/2 or 5π/2 or 7π/2

x = π/4 or 3π/4 or 5π/4 or 7π/4