Question

Помогите решить систему уравнений$left { {{Cos(x+y)=0,5} atop {Sin(x-y)=1}} right.$

Answer 1

x+y=+-π/3+2πm
x-y=π/2+2πk       m,k∈Z

2x1=π/3+π/2+2π(m+k)
x1=5π/12+πr   r∈Z     y1=π/3+2πm-5π/12-πr=-π/12+2πm-πr 

2x2=-π/3+π/2+2πn  x2=π/12+πn n∈Z
y2=-π/3+2πm-π/12-πt=-5π/12+2πm-πt