А)
sin (3π/2 + α) ctg (π/2 - α) + sin (π - α) + ctg (3π/2 - α) = tg α
sin (3π/2 + α) = - cos α
ctg (π/2 - α) = tg α
sin (π - α) = sin α
ctg (3π/2 - α) = tg α
- cos α tg α + sin α + tg α = - cos α * sin α / cos α + sin α + tg α = - sin α + sin α + tg α = tg α
2) не получилось :(