..............................
Cos²a=1:(1+tg²a)=1:(1+1/16)=1:17/16=16/17
cosa=4/√17
sina=√(1-cos²a)=√(1-16/17)=√(1/17)=1/√17
(2cosa-8sina+10):(4sina-cosa+5)=
=(8/√17-8/√17+10):(4/√17-4/√17+5)=10:5=2
sin^2 x=1-cos^2 x
6*(1-cos^2 x) - 5cosx + 5=0
6-6cos^2 x - 5cos x + 5=0
-6cos^2x-5cos x + 11=0
6cos^2 x + 5 cos x -11=0
cos x=y
6y^2+5y-11=0
D= 289
y1=(-5+17)/12=1
y2= (-5-17)/12=-11/6 - не подходит, т.к. -1<=сos x<=1
cos x=1
x=0