Cos(x+π/6)=-√3/2
x+π/6=-5π/6+2πk U x+π/6=5π/6+2πk
x=-π+2πk U x=2π/3+2πk,k∈z
tg3x=√3
3x=π/3+πk
x=π/9+πk/3,k∈z
sin(75°)+sin(45°)/sin(285°)=sin(30°+45°)+sin(45°)/(sin(180°+(60°+45°))=
=sin(30°)cos(45°)+cos(30°)sin45°)+sin(45°)/(-sin(60°+45°))=
=(1/2)*(1/sqrt(2))+(sqrt(3))*(1/sqrt(2))+(1/sqrt(2))/(-(sin(60°)cos(45°)+cos(60°)*sin(45°)))=(1+sqrt(3))/2sqrt(2))+(1/sqrt(2))/(-(sqrt(3)/2)(1/sqrt(2))+(1/2)(1/sqrt(2))=
(1+sqrt(3))/2sqrt(2))+(1/sqrt(2))/(-(1/sqrt(2))((1+sqrt(3))/2))
=(1/2sqrt(3))/2sqrt(3))-2sqrt(2))/(1+sqrt(3))=(sqrt(3)-2)/(sqrt(2)+sqrt(6))
3x-2=-2x+b
5x=b+2
x=(b+2)/5
-2x+b=0
-2x=-b
x=b/2
(b+2)/5=b/2
5b=2b+4
3b=4
b=4/3