Question

помогите решить, буду благодарен​

Answer 1

Ответ:

√2соs(x+π/4)-sin(x)=|cos(x)|

√2(cos(x)cos(π/4)-sin(x)sin(π/4)-sin(x)=|cos(x)|

√2(√(2)/2cos(x)-√(2)/2sin(x))-sin(x)=|cos(x)|

cos(x)-sin(x)-sin(x)=|cos(x)|

cos(x)-2sin(x)=|cos(x)|

-2sin(x)=0

sin(x)=0

x=πk k€Z