Answer:
True.
Explanation:
given equation: (tan x - 1)/(tan x + 1) = (1 - cot x)/(1 + cot x)
1. manipulate the right side by using trigonometric identities
(tan(x) - 1)/(tan(x) + 1) = (-cos(x) + sin(x))/(cos(x) + sin(x))
2. manipulate the right side by using trigonometric identities
(-cos(x) + sin(x))/(cos(x) + sin(x)) = (-cos(x) + sin(x))/(cos(x) + sin(x))
Both sides of the equation are now equal -> (tan x - 1)/(tan x + 1) = (1 - cot x)/(1 + cot x) is true.