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.