# 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.

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We 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...