Question

решите уравнение (cos(x-p/4)-1)*(6 sin x+3)=0

Answer 1

[cos(x-pi/4) -1) * (6 sin x+3)=0
1)cos(x-pi/4)-1=0
cos (x-pi/4)=1
x-pi/4=2pik, k e Z
x= pi/4+2pik, k e Z
2) 6 sinx +3=0
6 sinx=-3
sinx=-1/2
x=-pi/6+2pin,n E Z
x=-5pi/6+2pin, n e Z