Parametric Equations | |
Summary |
the conic sections, the circle, the ellipse, the parabola and the hyperbola are not functions. the equations of the conic sections are often written as implicit relations, where y is not the subject, and this makes them difficult to deal with, especially when it comes to calculus and differentiation. to get around this difficulty, a method called parametric equations are used. the x and y variables are each expressed in a much simpler way in terms of a third variable. t or θ are often used. these two equations are functions. |
Key Skills |
find equations of conic sections from given conditions using both the cartesian (x, y) and parametric forms. |
Vocabulary |
parametric equation, implicit function, conic sections, hyperbola, ellipse, parabola |