tg(п-t)/cos(п+t)*sin(3п/2+t)/ tg(3п/2+t)=tg^2t

Question

tg(п-t)/cos(п+t)*sin(3п/2+t)/ tg(3п/2+t)=tg^2t

Answer 1

tg(п-t)/cos(п+t)*sin(3п/2+t)/ tg(3п/2+t)=-tg(t)/-cost*-cos(t)/-ctg(t)=tgt/cost*cost*tgt=tg^2t