this problem gave me a hard time need help

Question

Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2π). (Enter your answers as a comma-separated list. Round your answers to three decimal places where appropriate.)

sin 2θ + sin θ = 0

θ =

 

Answer 1

The trigonometric equation is .

Double-angle formula: .

Separate the factors.

and .

Simplify and rewrite the equations.

and .

General solution for :

General solution for :

The solution of the trigonometric equation is