In this lesson, we will learn how to graph curves given by a pair of parametric equations in 2D.
Students will be able to
Q1:
Noah wants to graph the parametric equations π₯=2π‘β2 and π¦=3βπ‘ο¨, where 0β€π‘β€2.
He has started to complete a table of values.
Find the values of π,π, and π.
Use the table of values to determine which of the following graphs is correct.
Q2:
Jackson wants to graph the parametric equations π₯=2π‘cos and π¦=βπ‘sin, where 0β€π‘β€π.
Work out the values of π, π, and π.
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 π₯=(2ππ‘)cos, π¦=(2ππ‘)sin of the unit circle starts at (1,0) and moves counterclockwise. At what values of 0β€π‘β€4 is the particle at (0,1)? Give exact values.
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