Simplify into a single trig function

Question

simply (1+cot(t))/(1+tan(t)) to a single trig function 

Answer 1

(1 + cot t)/(1 + tan t) = (1 = cot t)/[1 + (1/cot t)} = (1 + cot t)/[(1 + cot t)/cot t) = cot t