Chapter 8 - Parametric Equations

Question 1

What are the two ways of convertin parametric equations to cartesian equations?

Answer 1

1. substitution to eliminate the parameter
2. use of trig functions such as sin²x + cos²x = 1

Question 2

For parametric equations x = p(t) and y = q(t), how do you find the domain of f(x)?

Answer 2

Equal to the range of p(t)

Question 3

For parametric equations x = p(t) and y = q(t), how do you find the range of f(x)?

Answer 3

Equal to the range of q(t)