Cosx/2+sinx/2=0 помогите

[latex] \frac{cos(x)}{2} + \frac{sin(x)}{2} = 0 \\ sin(x)= -cos(x) \\ sin(x)+cos(x) = 0 ~|:cos(x)\\ tg(x)+1=0\\ tg(x) = -1 \\ x = - \frac{ \pi }{4} + \pi n, ~n \to Z[/latex]