x = a cos t
y = b sin t
Famous Curves Drawn from Parametric Representation
| Construct the tangent of the ellipse
from its parametric representation x = a cos t y = b sin t |
|
| Construct the tangent of the hyperbola
from its parametric representation x = a sec t y = b tan t |
|
| Construct the tangent of the
Bullet's Nose from its parametric representation x = a cos t y = b cot t |
|
| Construct the tangent of the
Cross Curve from its parametric representation x = a sec t y = b csc t |
|
| Construct the tangent of the
Bowditch Curve
from its parametric representation x = cos 3 t y = sin 4 t |
|
| Construct the tangent of the graph of the
Chebyshev Polynomial from its parametric
representation x = cos t y = cos 3 t |
|
| Construct the tangent of the
Lemniscate of Gerono from its parametric
representation x = cos t y = sin t cos t |
|
| Construct the tangent of the
Witch of Agnesi from its parametric representation x = tan t y = cos 2 t |
|
| The inverse of the hyperbola is known as the lemniscate. Construct its tangent. |
|
| Construct the tangent of the folium of
Descartes given by x 3 + y 3 - 3xy = 0 |
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