click below
click below
Normal Size Small Size show me how
Polar Functions
| Term | Definition |
|---|---|
| rsin = a | horizontal line |
| rcos = a | vertical line |
| r=2asin | radius a, center at (0, a) |
| r=-2asin | radius a, center at (0, -a) |
| r=2acos | radius a, center at (a, 0) |
| r=-2acos | radius a, center at (-a, 0) |
| Cardiod | r=a(1+cos) r=a(1+sin) r=a(1-cos) r=a(1-sin) |
| Limacon w/o inner loop | r=a+bcos r=a+bsin r=a-bcos r=a-bsin a>b |
| Limacon w/ inner loop | r=a+bcos r=a+bsin r=a-bcos r=a-bsin a<b |
| Rose | r=acos(n theta) r=asin(n theta) If even, has 2n petals If odd, has n petals n does not equal 0 |
| Leminscate | r^2=a^2sin(2 theta) r^2=a^2cos(2 theta) |
| Logarithmic Spiral | r=e^theta/5 |