How To Graph Polar Equations

The full version of this precalculus video tutorial focuses on graphing polar equations. It explains how to graph circles, limacons, cardiods, rose curves, and lemniscates.
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Get The Full 1 Hour Video: www.patreon.com/MathScienceTutor Direct Link to The Full Video: bit.ly/3DwL6cz

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at 3.24 it says R=3 used for area of circle but also uses R as variable distance from origin to a point on that circle whence R varies from zero to a maximum of 6 .... Better to use another letter for the circle radius or use small r for the polar radial distance though noting that here we allow r to go negative which is needed to keep the curve on one side of the coordinate system

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What about the coefficient of theta ? If it's more than 1

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is not 4 for b in R = 4 Cos θ when you compare it with R = a ± b cos θ? minutes 01:30

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In the question at 18.03; For cos(S), wouldn't it be 3+7cos0=10 from s=0? for angle 0 degrees?

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