Find a cartesian equation for the polar curves: a. r= 2 \cos \theta| b. r= -3 \tan \theta \sec...
Question:
Find a cartesian equation for the polar curves:
a. {eq}r= 2 \cos \theta {/eq}
b. {eq}r= -3 \tan \theta \sec \theta {/eq}
Polar Coordinates
To convert back and forth between polar and Cartesian coordinates recall the relationships:
{eq}x^2 + y^2 = r^2\\ \displaystyle \tan \theta = \frac{y}{x} \\ x= r \cos \theta\\ y = r \sin \theta {/eq}
To tackle this problem, use these relationships.
Answer and Explanation: 1
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View this answera. Multiply both sides by {eq}r {/eq}.
{eq}r = 2 \cos \theta \\ r^2 = 2 r \cos \theta {/eq}
Recall that {eq}x^2 + y^2 = r^2 {/eq} and {eq}r\cos...
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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.