Simplify the following expression

Question

Simplify the following expression into a single trig function with no fractions (Show all steps)

1 + cot(𝜃) /1 + tan(𝜃)

Answer 1

you must mean (1+cot(theta))/(1+tan(theta)) with some implicit parentheses

Then that = cot(theta)

plug in a couple angles for theta, it works

let a = adjacent side and o=opposite side, cot(theta) = a/o and tan(theta) = o/a

(1+a/o)/(1+o/a) = a/o = cot(theta)

(o+a)/o over (a+o)/a =a/o = cot(theta)