Famous Curves Drawn from Parametric Representation

Construct the tangent of the ellipse
from its parametric representationx = a cos t y = b sin t |

Construct the tangent of the hyperbola
from its parametric representationx = a sec t y = b tan t |

Construct the tangent of the
Bullet's Nose from its parametric representationx = a cos t y = b cot t |

Construct the tangent of the
Cross Curve from its parametric representationx = a sec t y = b csc t |

Construct the tangent of the
Bowditch Curve
from its parametric representationx = cos 3 t y = sin 4 t |

Construct the tangent of the graph of the
Chebyshev Polynomial from its parametric
representationx = cos t y = cos 3 t |

Construct the tangent of the
Lemniscate of Gerono from its parametric
representationx = cos t y = sin t cos t |

Construct the tangent of the
Witch of Agnesi from its parametric representationx = tan t y = cos |

The inverse of the hyperbola is known as
the lemniscate. Construct
its tangent. |

Construct the tangent of the folium of
Descartes given byx |