Y2, C8 - Parametric Equations

Question 1

What are parametric equations

Answer 1

When x and y are defined in terms of another variable (known as the parameter (usually t))

Question 2

How can you convert parametric equations into a single Cartesian one?

Answer 2

1) Make t the subject
2) Sub into the other equation

Question 3

What are the domain and range of a parametric function if x = p(t) and y = q(t) can be written as y = f(x)

Answer 3

Domain of f is range of p
Range of f is range of q

Question 4

What is sec^2(x) equal to

Answer 4

1 + tan^2(x)

Question 5

How do you turn trigonometric parametric equations into Cartesian equations

Answer 5

Use trigonometric identities
Find find x or y in terms of sin / cos / tan / sec and sub into the other equation

Question 6

Without finding the Cartesian form, how would you draw a parametric equation on a graph

Answer 6

Sub in different values for t and plot points

Question 7

How would you show that parametric equations are in a straight line?

Answer 7

Put them into the form of a linear Cartesian equation