14.3.3. Lemniscate
The equation for a lemniscate can be written in the following forms:
Examples
Sketch the graphs of the equations below and hit enter after each one.
Sketch the graphs of the equations below and hit enter after each one.
1. r2= 4 cos 2θ
2. r2= 9 cos 2θ
3. r2= 16 sin 2θ
4. r2= -16 sin 2θ
Calculator solutions
Enter each of the following. Type r by tapping the x variable key four times. Type θ by tapping the x variable key five times.
1) r^2 = 4 cos 2θ
2) r^2 = 9 cos 2θ
3) r^2 = 16 sin 2θ
4) r^2 = -16 sin 2θ
Enter each of the following. Type r by tapping the x variable key four times. Type θ by tapping the x variable key five times.
1) r^2 = 4 cos 2θ
2) r^2 = 9 cos 2θ
3) r^2 = 16 sin 2θ
4) r^2 = -16 sin 2θ
To look at each graph individually, enter one equation per workspace. Adjust the r-axis fixed scale to resize the graph. Set it to a smaller value (e.g. 1, 0.5, 0.3) to enlarge the scale or set it to a higher value (e.g. 3, 5) to reduce it.
