Lesson: Parametric Equations and Curves in Two Dimensions Mathematics • Higher Education

In this lesson, we will learn how to graph curves given by a pair of parametric equations in 2D.

Lesson Video

Sample Question Videos

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Lesson Worksheet

Q1:

Noah wants to graph the parametric equations and , where .

He has started to complete a table of values.

Find the values of , and .

Use the table of values to determine which of the following graphs is correct.

Q2:

Jackson wants to graph the parametric equations and , where .

He has started to complete a table of values.

Work out the values of , , and .

When Jackson plots the coordinates on a graph, he is not entirely sure about the shape of the curve. What is the one thing he could do to find out more about the shape of the curve?

Q3:

A particle following the parameterization , of the unit circle starts at and moves counterclockwise. At what values of is the particle at ? Give exact values.