Question

The equation tan (x-pi/3) is equal to ______.

((sqrt 3) tan x + 1)/((sqrt 3) - tan x)

((sqrt 3) tan x - 1)/((sqrt 3) + tan x)

(tan x + (sqrt 3))/(1 - (sqrt 3) tan x)

(tan x - (sqrt 3))/(1 + (sqrt 3) tan x)

Answer 1

Use the identity

\[\Large \tan(A-B) = \frac{\tan(A) - \tan(B)}{1 + \tan(A)*\tan(B)}\]

see page 2 of this sheet

http://tutorial.math.lamar.edu/pdf/Trig_Cheat_Sheet.pdf