Cos π(2x-8) = √2
4 2
cos 2π(x-4) = √2
4 2
cos π(x-4) = √2
2 2
π(x-4) = + π/4 + 2πn, n∈Z
2
1) π(x-4)= π/4 +2πn, n∈Z
2
x-4 = 2π + 2πn*2
4π π
x-4 = 0.5 +4n
x=0.5+4+4n
x=4.5+4n, n∈Z
2) π(x-4) = -π/4 + 2πn, n∈Z
2
x-4 = -0.5+4n
x=4-0.5 +4n
x=3.5+4n, n∈Z
Ответ: 3,5+4n, n∈Z;
4,5+4n, n∈Z