Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 6 - Section 6.4 - Graphs of Polar Equations - Concept and Vocabulary Check - Page 753: 1


One method for graphing a polar equation is the point-plotting method. We substitute convenient values of $\theta $ into the equation and then determine the values for $r$.

Work Step by Step

One method for graphing a polar equation such as $r=a\sin \theta $ is the point-plotting method. Under this method we first make a table of values that satisfy the equation. Then, we plot these ordered pairs as points in the polar coordinate system. At last, we connect the points with a smooth curve. This often gives us a picture of all ordered pairs $\left( r,\theta \right)$ that satisfy the equation.
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