Решить Уравнение 1)sin(x/3 - пи/4)=-1\2 2)cos 4x = √3\2

Question

Решить Уравнение

1)sin(x/3 - пи/4)=-1\2
2)cos 4x = √3\2

Answer 1

1)sin(x/3 - п/4)=-1\2
x/3-π/4=(-1)^(n+1)*π/6+πn⇒x/3=π/4+(-1)^(n+1)*π/6+πn⇒x=
=3π/4+(-1)^(n+1)*π/2+3πn,n∈Z
 2)cos 4x = √3\2
4x=+-π/6+2πn⇒x=+-π/24+πn/2,n∈Z