Упростите выражение sin 2t − 2sin (t + 75∘ ) cos (t − 75∘)

sin 2t − 2sin (t + 75) cos (t − 75)= sin 2t − 2(sin(t)cos75+cos(t)sin75)(cos(t)cos75+sin(t)sin75) = sin(2t) - 2(sin(t)cos(t)(cos75)^2+sin(t)^2*cos75sin75+cos(t)^2*cos75sin75 +
sin(t)cos(t)(sin75)^2) = sin(2t) - sin(2t)((sin75)^2+(cos75)^2)+(sin(t)^2+ cos(t)^2)sin150=
sin(2t) - sin(2t)+ sin150= 1/2