1
x/3=+-π/4+2πn,n∈z
2
x+π/3=π/3+πn,n∈z
x=-π/3+π/3+πn,n∈z
x=πn,n∈z
3
2-2sin²x+5sinx+1=0
sinx=a
2a²-5a-3=0
D=25+24=49
a1=(5-7)/4=-1/2⇒sinx=-1/2⇒x=(-1)^(n+1)*π/6+πn,n∈z
a2=(5+7)/4=3⇒sinx=3>1 нетрешения
4
2(1/2*sinx-√3/2*сosx)=4
2sin(x-π/3)=4
sin(x-π/3)=2>1 нет решения
5
sinx(cosx+sinx)=0
sinx=0⇒x=πn,n∈z
cosx+sinx=0/cosx
1+tgx=0
tgx=-1⇒x=-π/4+πk,k∈z