sin a = 3/16 = h/l ,где h - высота, l - длина эскалатора.
3/16=h/l=h/32 => h=32*3/16=6 м
на высоту 6 м
(1-cos(2π/3+2x))/2+(1-cos(2π/3-2x)/2+(1-cos2x)/2=
=1/2*(1-cos(2π/3+2x)+1-cos(2π/3-2x)+1-cos2x)=
=1/2*(3-cos2π/3*cos2x+sin2π/3*sin2x-cos2π/3*cos2x-sin2π/3*sin2x-cos2x)=
=1/2(3-2cos2π/3*cos2x-cos2x)=1/2*(3-2*(-1/2)*cos2x-cos2x)=
=1/2*(3+cos2x-cos2x)=3/2=1,5
ctgx=1/tgx
tgx≠0
cosx≠0
sinx≠0
6tg²x-4tgx-2=0
3tgx-2tgx-1=0
D=4+12=16
tgx=-1/3 или tgx=1
x=arctg(-1/3)+πk или х=(π/4)+πn, k,n∈Z
О т в е т. arctg(-1/3)+πk ; (π/4)+πn, k,n∈Z