помогите решить (тригонометрия)

1
4cosx+2=5sinx+3sinxcosx
4cosx+2cosx+2sinx-5sinx-3sinxcosx=0/cosx
3tgx+3tgx-6=0
tgx=a
3a+3a-6=0
a+a-2=0
a1=a2=-1 U a1*a2=-2
a1=-2tgx=-2x=-arctg2+n,nz
a2=1tgx=1x=/4+n,nz
2
sinx+cosx=2
2(1/2*sinx+1/2*cosx)=2
sin(x+/4)=1
x+/4=/2+2n
x=/4+2n,nz
3
5sinx+3sinxcosx=4
5sinx+3sinxcosx-4sinx-4cosx=0/cosx
tgx+3tgx-4=0
tgx=a
a+3a-4=0
a1+a2=-3 U a1*a2=-4
a1=-4tgx=-4x=-arctg4+n,nz
a2=1tgx=1x=/4+n,nz
4
sinxcos2x+cosxsin2x=3/2
sin(x+2x)=3/2
sin3x=3/2
3x=(-1)^n*/3+n
x=(-1)^n*/9+n/3,nz
5
tgx+ctgx=2
tgx+1/tgx=2
tgx-2tgx+1=0,tgx