Question

Помогите с системкой пожааааалуйста$left { {{cos(x+y)=- frac{1}{2} } atop {sinx+siny= sqrt{3} }} right.$

Answer 1

x+y=2π/3
x=2π/3-y
sin(2π/3-y)+siny=√3
2sinπ/3cos(π/3-y)=√3
2*√3/2*cos(π/3-y)=√3
cos(π/3-y)=1
π/3-y=0
y=π/3
x=2π/3-π/3=π/3
Ответ (π/3;π/3)