Convert the following equation to an equivalent polar equation.

{eq}x^2 - y^2 = 1 {/eq}

## Question:

Convert the following equation to an equivalent polar equation.

{eq}x^2 - y^2 = 1 {/eq}

## Polar Coordinates:

We are given the Cartesian equation of a hyperbola in the xy-plane with the two asymptotes *y* = *x* and *y* = - *x*. We use the equations for the cartesian coordinates in terms of polar coordinates to find the polar equation of this hyperbola.

## Answer and Explanation: 1

Become a Study.com member to unlock this answer! Create your account

View this answerWe have the equation of a hyperbola: {eq}\displaystyle \; x^2 - y^2 = 1 \; {/eq}.

We find the polar equation of this hyperbola by using the...

See full answer below.

#### Learn more about this topic:

from

Chapter 1 / Lesson 16Understand the definition of polar coordinates, discover the formula for expressing polar coordinates, and learn how to convert cartesian coordinates into polar coordinates with examples.