Question

Система тригонометрических уравнений

Answer 1

x+y=π/2⇒x=π/2-y
sin²x-sin2y=1⇒sin²(π/2-y)-sin²y=1⇒cos²y-sin²y=1⇒cos2y=1⇒
2y=0⇒y=0
x=π/2-0=π/2