Avoid Loss of Significance in Function: Tips & Advice

[asi123]

Homework Statement

Hey guys.

Anyone knows how can I avoid loss of significance in this function?

http://img402.imageshack.us/img402/4216/33365715.jpg

Thanks a lot.

Homework Equations

The Attempt at a Solution

 

[HallsofIvy]

Rewrite tan x in terms of sin x and cos x and combine the fractions.

 

[asi123]

Rewrite tan x in terms of sin x and cos x and combine the fractions.

Well, I got this: tg(x) (cos(x) - 1).
Is that good enough? how can I check it?

Thanks a lot.