How to Graph Polar Equations
To graph a polar equation, plot points as a radius and an angle rather than an x and a y. Working through a full turn of angles and recording each radius traces the curve.
A Step-by-step Guide to Graphing Polar Equations
Step 1: Understand Polar Coordinates
Step 2: Understand the Polar Equation
Step 3: Create a Table of Values
Step 4: Plot the Points
Step 5: Connect the Points
- Create a Table of Values
| θ | r |
| 0 | 1 |
| \(\frac{π}{4}\) | \(\frac{\sqrt{2}}{2}\) |
| \(\frac{π}{2}\) | 0 |
| \(\frac{3π}{4}\) | \(-\frac{\sqrt{2}}{2}\) |
| π | -1 |
| \(\frac{5π}{4}\) | \(-\frac{\sqrt{2}}{2}\) |
| \(\frac{3π}{2}\) | 0 |
| \(\frac{7π}{4}\) | \(\frac{\sqrt{2}}{2}\) |
| 2π | 1 |
- Plot the Points
- Connect the Points
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