Thread: Another Linear Approximation Question

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.

Originally Posted by Wyau

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.

The standard linear approximation of about is:



So put then you need to show that:



and:



RonL