1) ctg x/3 =0
x/3 = π/2 + πn, n∈Z
x=3π + 3πn, n∈Z
2
2) tg(2x-π/3)= -√3
2x- π/3 = -π/3+ πn, n∈Z
2x= π/3 - π/3 + πn
2x= πn
x=πn, n∈Z
2
3) cos(x/2 - π/2)= -1/2
x/2 - π/2 = + 2π/3 + 2πn, n∈Z
1) x/2 - π/2 = -2π/3 + 2πn
x/2 = -2π/3 + π/2 +2πn
x/2 = -π/6 + 2πn
x= -π/3 +4πn, n∈Z
2) x/2 = 2π/3+ π/2 +2πn, n∈Z
x/2 = 7π/6 + 2πn
x= 7π/3 +4πn, n∈Z
4) sin(3π/2 + x/3)=0
3π/2 + x/3=πn, n∈Z
x/3 = -3π/2 + πn
x=-9π/2 +3πn, n∈Z