Help with Trigonometry: Solving sinx + sin(x/2) = 0

[CathyLou]

Hi.

Could someone please help me with the following question? I would really appreciate any help as I am completely stuck at the moment.

Solve sinx + sin(x/2) = 0 when x is between (and including) 0 and 360 degrees.

Thank you.

Cathy

 

[Hootenanny]

Hey Cathy,

Try writing;

$$\sin(x) = -\sin(x/2)$$

$$\sin(x) = \sin(-x/2)$$