Question

Решите пожалуйста )))

Answer 1

sin²(x)-2sin(x)=3cos²(x)
sin(x)²-2sin(x)cos(x)-3cos(x)²=0
tan(x)²-2tan(x)-3=0
t²-2t-3=0
t=3
t=-1
tan(x)=3
tan(x)=-1
x=arctan(3)+kπ,k€z
x=3π/4 +kπ , k€z
....}arctan(3)+kπ
x=}..........................,k€z
... } 3π/4+kπ