Question

Решите систему уравнений :
y-x=Π/6
2cosy=√3cosx

Answer 1

y=x+π/6
2cos(x+π/6)=√3cosx
2cosxcosπ/6-2sinxsinπ/6=√3cosx
2*√3/2cosx-2*1/2sinx=√3cosx
√3cosx-sinx=√3cosx
sinx=0
x=πn,n∈Z
y=π/6+πn,n∈Z