find all solutions of the equation in the interval[0,2π)

Question

sin 2x - sin x = 0

Answer 1

Step 1:

The equation is .

Using trigonometric double angle formula .

Apply zero product property.

and .

and .

and .

The general solution of sine .

The general solution of cosine .

and , Where is any integer.

Hence, and .

Required solutions are in the interval .

The solutions of equation in the interval are .

Solution:

The solutions of equation in the interval are .