I don't even know where to start with this question

Question:

A useful linear approximation to

1/(1+tan x)

can be obtained by combining the approximations

1/(1+x) is about equal to 1 - x and tan x is about equal to x

to get 1/(1+tan x) is about equal to 1-x

Show that this is the standard linear approximation of 1/(1+ tan x)

I'm really slow on this linear approximation stuff. Thanks again for helping me out.