Trigonometry assignment

Parametric Equations 8.5 NAME____________________

Parametric equations are a general method for describing any curve.

There are three variables for each “point”, the x direction, the y direction and t, the time it takes

to get to that point.

1. Given the equations tx  4y t  

a. Fill in the following table and graph the points. Indicate the direction of the

curve/line with respect to time by using arrows.

b. Using the two original equations, eliminate the parameter, t, to obtain an equation for

y as a function of x. Does the equation you found match the function you’ve drawn?

2. Find the parametric equations x(t) & y(t) for the line that passes through the point (3,6) ,

when t=0 and (-4, 9), when t = 2. *hint substitute in t & x, t & y for point 1& 2 then solve for a, b, c, d

x(t) = a +bt

y(t) = c + dt

T x y

0

1

2

3

4

Y

X

3. Sketch a graph of sin( )

cos(2 )

x t

y t



 and write it as a Cartesian equation

4. Sketch a graph of sin(2 )

cos( )

x t

y t



 and write it as a Cartesian equation