week12(12/03)Famous Curves Drawn from Parametric Representation

the ellipse from its parametric representation
x = a cos t
y = b sin t

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the hyperbola from its parametric representation
x = a sec t
y = b tan t

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the Bullet's Nose from its parametric representation
x = a cos t
y = b cot t

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the Cross Curve from its parametric representation
x = a sec t
y = b csc t

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the folium of Descartes given by
x^3 + y^3 - 3xy = 0

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the Witch of Agnesi from its parametric representation
x = tan t
y = cos^2 t

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the hyperbola is known as the lemniscate

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the Bowditch Curve from its parametric representation
x = cos 3 t
y = sin 4 t

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the graph of the Chebyshev Polynomial from its parametric representation
x = cos t
y = cos 3 t

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the Lemniscate of Gerono from its parametric representation
x = cos t
y = sin t cos t

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