Equivalent of tan(t) near Pi/2

[penguin007]

Homework Statement

How can you get an equivalent of tan(t) in the neighborhood of Pi/2?

Homework Equations

the answer is 1/(Pi/2-t)

The Attempt at a Solution

I tryed to use a Taylor's expansion but the problem is that tan(Pi/2) does not exist.



Thanks for your help!

 

[clamtrox]

How about doing a Taylor expansion for tan^(-1) t instead?

 

[Dick]

cot(pi/2) exists. And tan(x)=1/cot(x).

 

[penguin007]

thanks guys