ch8 parametric equations Flashcards
What is a parametric equation?
An equation which has a third variable that x and y are related to.
How to form a cartesian?
Rearrange the x to make t the subject and sub this into the y for t.
How to find the range and domain of a normal cartesian.
Sketch the parametric functions with the original restriction of t.
What is the method of forming a cartesian with sin and cos?
-Get both parametric equations in terms of sin(t) and cos(t) then use the trig identity to combine.
What is the shortcut of sketching parametric equations when x=acost+b and y=ccost+d
Centre = (a,b) x radius = a y radius =d
How to solve an equation when a curve is given parametrically by x=t^2 and y=4t,
the line x+y+4=0 meets the curve at A find the coordinates of A.
- Replace the X and Y terms for the expression for t.
- Solve for t
- Sub in the values of t back in for the coordinates of A.
How to solve an equation when a curve is given parametrically by x=t^2 and y=4t,
the line x+y+4=0 meets the curve at A find the coordinates of A.
- Replace the X and Y terms for the expression for t.
- Solve for t
- Sub in the values of t back in for the coordinates of A.
How could you justify a domain?
Do not want one of the parameters to go negative.
