Question #348ea

1 Answer
Mar 2, 2017

see below

Explanation:

Use the Reciprocal Property

cot v=1/tanv or tan v=1/cotv

Left Hand Side:

(1+tan v)/(1-tan v) =( 1+1/cot v)/(1-1/cot v)

=(cot v/cotv +1/cot v)/(cot v/cot v-1/cot v)

=((cotv+1)/cotv)/((cotv-1)/cotv)

=(cotv+1)/cotv * cot v/(cot v-1)

=(cotv+1)/cancelcotv * cancelcot v/(cot v-1)

=(cot v+1)/(cot v-1)

:.= Right Hand Side