# Convert the equation {eq}y=x^2{/eq} to an equation in polar coordinates.

## Question:

Convert the equation {eq}y=x^2{/eq} to an equation in polar coordinates.

## Conversion of a Cartesian function into polar form

A function {eq}y = f(x) {/eq} given in Cartesian coordinate is converted to the polar form by substituting

{eq}x = r\cos\theta, \ \ y = r\sin\theta {/eq}

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We are given

{eq}y = x^2\\ {/eq}

To convert into polar form, we put

{eq}x = r\cos\theta, \ \ y = r\sin\theta {/eq}

Substituting the values of...