Cos(2x+pi/4)Cosx+Sinx(2x+pi/4)Sinx=корень из 2/2

Question

Cos(2x+pi/4)Cosx+Sinx(2x+pi/4)Sinx=корень из 2/2

Answer 1

Cos(2x+π/4-x)=√2/2
cos(x+π/4)=√2/2
x+π/4=-π/4+2πn U x+π/4=π/4+2πn
x=-π/2+2πn U x=2πn

Comments

Спасибо