# How do solve the equation? (Find all solutions of the equation in the interval [0, 2π). sin(2x) − sin(x) = 0

##### 1 Answer

Jun 15, 2018

#### Explanation:

sin 2x - sin x = 0

2sin x.cos x - sin x = 0

sin x(2cos x - 1) = 0

Either one of the factor should be zero.

a. sin x = 0

Unit circle gives --> x = 0,

General answer

b. 2cos x - 1 = 0 -->

Trig table and unit circle give: