Question

помогите решить, за найлучшее решение 10пкт

Answer 1

sin x+sin y=-√2

x+y=π

x=π-y

sin(π-y)+sin y=-√2

siny+siny=-√2

2siny=-√2

sin y=-√2/2

y₁=-π/4+2πn,  x₁=π+π/4+2πn=5π/4+2πn

y₂=-3π/4+2πn, x₂=π+3π/4+2πn=7π/4+2πn

(5π/4+2πn;-π/4+2πn)   , (7π/4+2πn; -3π/4+2πn)