1) sin(2π-x)=1
2π-x=π/2 +2k,k∈Z
-x=π/2 -2π+2πk,kZ
x=3π/2 -2πk,k∈Z
Ответ: x=3π/2 -2πk,k∈Z
2) cos4x=0.5
cos4x=1/2
4x=+-arccos1/2 +2πk,k∈Z
4x=+-π/3 +2πk,k∈Z
x=+-π/12 +πk/2,k∈Z
Ответ: x=+-π/12 +πk/2,k∈Z
3) tg(x-4π)=1
x-4π=π/4 +πk,k∈Z
x=π/4 +4π+πk,k∈Z
x=17π/4 +πk,k∈Z
Ответ: x=17π/4 +πk,k∈Z