Sin(x-п/4)= - (корень3)/2

Question

Sin(x-п/4)= - (корень3)/2

Answer 1

Sin(x-π/4)=-√3/2
x-π/4=(-1)^n *arcsin(-√3/2)+πn, n∈Z
x-π/4=(-1)^(n+1)*arcsin(√3/2)+πn, n∈Z
x-π/4=(-1)^(n+1)*(π/3)+πn, n∈Z
x=(-1)^(n+1)*(π/3)+π/4+πn, n∈Z