Question

Simplify the expression.

1-cot x / tan x-1

A) cot x
B) tan x
C) -cot x
D) csc x

Answer 1

The answer to your question is letter A) cot x

Explanation:

`(1 - cot x)/(tan x - 1)`

Remember that cot x =
`(1)/(tan x)`

Then

`(1 - (1)/(tan x) )/(tanx -1)`

Simplify

`((tan x - 1)/(tan x) )/(tan x - 1)`

`(tan x - 1)/(tan x (tan x - 1))`

`(1)/(tan x)`

Result

`(1)/(tan x) = cot x`