6 quick trigonometry assignments
Brian_1234
parametriceqn_03.docParametric 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
t
x
=
4
yt
=-+
a. Fill in the following table and graph the points. Indicate the direction of the curve/line with respect to time by using arrows.
|
T |
x |
y |
|
0 |
|
|
|
1 |
|
|
|
2 |
|
|
|
3 |
|
|
|
4 |
|
|
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
3. Sketch a graph of
sin()
cos(2)
xt
yt
=
=
and write it as a Cartesian equation
4. Sketch a graph of
sin(2)
cos()
xt
yt
=
=
and write it as a Cartesian equation
X
Y
