Equivalent of tan(t) near Pi/2

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Homework Help Overview

The original poster attempts to find an equivalent expression for tan(t) near Pi/2, noting the challenge posed by the undefined nature of tan(Pi/2).

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Some participants suggest using a Taylor expansion for tan(t), while others propose considering the Taylor expansion for the inverse tangent function instead. There is also a mention of the relationship between tangent and cotangent.

Discussion Status

The discussion is exploring different approaches to the problem, with participants questioning the assumptions around the behavior of tan(t) near Pi/2 and considering alternative functions.

Contextual Notes

Participants note the undefined nature of tan(Pi/2) and discuss the implications of this in their attempts to find an equivalent expression.

penguin007
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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!
 
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How about doing a Taylor expansion for tan^(-1) t instead?
 
cot(pi/2) exists. And tan(x)=1/cot(x).
 
thanks guys
 

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