Ctg(pi/4(x-1))=1 t=pi/4(x-1) ctgt=1 t=pi/4+pi*n pi/4(x-1)=pi/4+pi*n умножим на 4/pi
4/pi*pi/4(x-1)=4/pi*pi/4+4/pi*pi*n x-1 =1+4*n x=1+1+4*n=2+4*n n(- Z
2)1+2sin(2pix/3)=0 2sin(2pix/3)=-1 sin(2pix/3=-1/2 t= 2pix/3 sint=-1/2
t=-pi/6+2pi*n t2=pi-(-pi/6)+2pi*n t2=pi+pi/6+2pi*n=7pi/6+2pi*n
t=2pix/3 => 2pix/3=-pi/6+2pi*n умножим на3/2pi 2pix/3*3/2pi=3/2pi*(-pi/6)+3/2pi*2pi*n=-1/4+3n 2pix/3=3/2pi*7pi/6+3/2pi*2pi*n x2=7/2+3n n(- Z
3)4sin^2x-4cosx-1=0 4(1-cos^2x)-4cosx-1=0 4-4cos^2x-4cosx-1=0 -4cos^2x-4cosx+3=0 4cos^2x+4cosx-3=0 d 16-4*4*(-3)=64vd=8cosx=4-8/8=-1/2 x=+-2pi/3+2pi*n
cosx=4+8/8=12/8=3/2>1 =>решений нет
x1=+-2pi/3+2pi*n n(- Z