Question

Prove the identity. show all work. tan(x-pi/4)=tanx-1/tanx+1

Answer 1

tan (A - B) = (tan A - tan B)/(1 + tan A tan B)

tan (x - pi/4) = (tan x - tan pi/4) / (1 + tan x tan pi/4) = tan x - 1 / tan x + 1