Find a polar equation of the form r = f(theta) for the curve represented by the given Cartesian...
Question:
Find a polar equation of the form {eq}r = f( \theta) {/eq} for the curve represented by the given Cartesian equation {eq}\displaystyle x = 3 {/eq}.
Cartesian to Polar Equation:
Converting Cartesian equations into polar equations has lots of different applications in calculus.
To transform a Cartesian equation into a polar equation, we make use of the following identitites:
{eq}x = r \cos \theta {/eq}
{eq}y = r \sin \theta {/eq}
{eq}x^2 + y^2 = r^2 {/eq}
Answer and Explanation: 1
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View this answerTo transform the given Cartesian equation into a polar equation, we plug in {eq}x = r \cos \theta {/eq}:
{eq}\begin{align*} \displaystyle x & = 3...
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Learn more about this topic:
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Chapter 24 / Lesson 1Learn how to graph polar equations and plot polar coordinates. See examples of graphing polar equations. Transform polar to rectangular coordinates and vice versa.