Упростите cos(pi/2+t)/sin(pi-t)*tg(-t)

Question

Упростите cos(pi/2+t)/sin(pi-t)*tg(-t)

Answer 1

Cos(Pi/2+t)/sin(pi-t)*tg(-t)=
=-sin(t)/sin(t)*tg(-t)=
=-cos(-t)/sin(-t)=
=-cos(t)/-sin(t)=
=ctg(t)