1
а)-π/6-π/6-π/6=-π/2
б)cos(π/6-π/3)=cos(-π/6)=cosπ/6=√3/2
2
а)sin(3x-3π/8)=6/4√3
sin(3x-3π/8)=√3/2
3x-3π/8=π/3+2πn U 3x-3π/8=2π/3+2πn
3x=17π/24+2πn U 3x=25π/24+2πn
x=17π/72+2πn/3 U x=25π/72+2πn/3,n∈z
б)cos(5x/2-1)=-2/√3<-1
решения нет
в)сtg(π/3-4x)=√3
ctg(4x-π/3)=-√3
4x-π/3=-π/6+πn
4x=π/6+πn
x=π/24+πn/4,n∈z
г)cos(3π/2-x)-5cosx=0
-sinx-5cosx=0/cosx
-tgx-1=0
tgx=-1
x=-π/4+πn,n∈z
АС1(в квадрате)=АА1(квадрат)+С1Д1(квадрат) +В1С1(квадрат)=729, отсюда АС1=27
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