Question

1+csc(t) / 1+sin(t)
I have to make it into a single trig function

Answer 1

Consider this:
csc t=1/sin t


(1+ csc t) / (1+ sin t)=[1+(1/sin t)] / (1+sin t)=[(sin t+1)/sin t] / (1+sin t)=
=1/sin t= csc t.



Answer: (1+csc t) / (1+sin t)=csc t