1
sin(x+2x)=1
sin3x=1
3x=π/2+2πn
x=π/6+2πn/3,n∈z
2
sin2x(cos2x-2)=0
sin2x=0
2x=πn
x=πn/2,n∈x
cos2x=2>1 нет решения
3
1+sinx=0
sinx=-1
x=-π/2+2πn,n∈z
4
1-cos²x+cosx=0
cosx=a
a²-a-1=0
D=1+4=5
a1=(1-√5)/2⇒cosx=(1-√5)/2⇒x=+-arccos(1-√5)/2+2√n,n∈z
a2=(1+√5)/2⇒cosx=(1+√5)/2>1 нет решения
5
сos3x(2cos3x-1)=0
сos3x=0⇒3x=π/2+πn⇒x=π/6+πn/3,n∈z
cos3x=1/2⇒3x=+-π/3+2πn⇒x=+-π/9+2πn/3,n∈z
6
cos2x=0
2x=π/2+πn
x=π/4+πn/2,n∈z
7
tg3x=1
3x=π/4+πn
x=π/14+πn/3,n∈z
8
tg2x=1
2x=π/4+πn
x=π/8+πn/2,n∈z
9
4x=-arctg3+πn
x=-1/4*arctg3+πn/4.n∈z