Question

Помогите решить систему уравнений

Answer 1

{x+y=π/2⇒x=π/2-y
{sin²x+cos²y=1
sin²(π/2-y)+cosπy=1
cos²y+cos²y=1
2cos²y=1
2(1+cos2y)/2=1
1+cos2y=1
cos2y=0
2y=π/2
y=π/4
x=π/2-π/4=π/4