Question

решить уравнения: √2 cos (x- pi/4) - cos x = √3/2

Answer 1

√2cosxcosπ/4+√2sinxsinπ/4-cosx=√3/2
√2*1/√2*cosx+√2*1/√2*sinx-cosx=√3/2
cosx+sinx-cosx=√3/2
sinx=√3/2
x=(-1)^n*π/3+πn,n∈Z