Greetings, guests of Mathland!
Today, we will be reviewing parametric equations!
These equations give you the starting point and direction a particular line will flow. Starting off, the first step to solving the parametric equation is by sketching a graph. To sketch the graph, you would need to make a table that used the variables of:
t,x, and y (which are included in the given equations).
For example:
After that, you would usually solve the equation to eliminate the parameter. There are two different ways to approach, by using either elimination or substitution, or the trig identities.
Four important trig identities that should be memorized are:
Sometimes, instead of substituting regular whole numbers for t, the equation will ask for degrees, in which you will need to refer to the unit circle.
Below is an example of solving a parametric equation:
That is all. Ta ta!~
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