Question

ѵ2cos(x+pi/4)=1 решите пожалуйста

Answer 1

√2cos(x+π/4)=1
cos(x+π/4)=1/√2
cos(x+π/4)=√2/2
x+π/4=π/4+2πn       или     x+π/4=7π/4+2πk
x=π/4-π/4+2πn                    x=7π/4-π/4+2πk
x=2πn  n∈Z                          x=3π/2+2πk    k∈Z