Question

How do you solve `sin(2x) - sin(x) = 0`?

Answer 1

Use the double angle formula `sin2x = 2sinxcosx`

Explanation:

`2sinxcosx -sinx = 0`

`sinx(2cosx - 1) = 0`

`sinx = 0 or cosx = 1/2`

`0˚ , 180˚ or x = 60˚, 300˚`

Therefore, our solution set is `{x = 0˚, 60˚, 180˚, 300˚}`.

Hopefully this helps!