Parametric Equations of x^2-y^2=1

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Homework Help Overview

The discussion revolves around finding parametric equations for the hyperbola defined by the equation x² - y² = 1. Participants express uncertainty about the nature of the curve and its properties.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants question the original poster's understanding of hyperbolas and their characteristics. There is a discussion about the relationship between hyperbolic functions and the equation provided.

Discussion Status

The conversation is ongoing, with some participants providing insights into hyperbolas and hyperbolic functions. There is no consensus yet, as the original poster expresses confusion and seeks guidance.

Contextual Notes

Participants note that a single curve can have multiple parametric representations, which may lead to further exploration of different forms of parametric equations.

lemurs
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given x^2-y^2=1 find the parametric equation...

i have no clue where to start... it looks like a cirlce equation but i know that not right so what the hell?
 
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What you have there is the equation for a hyperbola, I'm guesing you haven't met hyperbolas before?
 
Do you know what hyperbolic sine and cosine are?
 
One point: there is no such thing as the parametric equations for a curve. A single curve can have expression in many different parametric equations. As Office Shreder said, do you know hyperbolic sine and cosine? They have the nice property that cosh2x- sinh2x= 1
 

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