Х + у = π/2
Sin²х + Cos²у = 1 эту систему решаем подстановкой: х = π/2 - у
Sin² (π/2 -y) + Cos²y = 1
Cos²y + Cos²y = 1
2Cos² y = 1
Cos²y = 1/2
а) Сosy = √2/2 б) Cosy = -√2/2
y = +-π/4 + 2πk , k ∈Z y = +-3π/4 + 2πn , n ∈Z
x = π/2 - y x = π/2 - y
x = π/2 +-π/4 -2πk , k ∈Z x = π/2 +-3π/4 + 2πn , n ∈Z