Question

решите систуму sin x Cos y =1/2
sin y cos x =1/2

Answer 1

sinx*cosy=1/2
siny*cosx=1/2
sinx*cosy=siny*cosx
sinx*cosy-siny*cosx=0
sin(x-y)=0
x-y=0
x=y
sin2x=1
2x=П/2+2Пk,k∈Z
x=П/4+Пk,k∈Z