Trajectory vs. time from parametric equations of motion

[BruceW~]

Homework Statement

Sketch the trajectory over the time interval 0 ≤ t ≤ 10 of the particle whose parametric equations of motion are given by X= t−3sint . And y = 4 − 3cost find the value of x,y,t

Remember that you should be in Radian mode!

Answer
Do you isolate the t first and plug it in into one of the function above and solve it ? Any suggestion, help and answer will be helpful.

 

[Dr. Courtney]

You do not isolate t.

A graphing calculator can do it, or you can make a table of values:

t x y
0
0.5
1.0
1.5

...

Once you have a table, plot x and y in the usual way.

 

[BruceW~]

You do not isolate t.

A graphing calculator can do it, or you can make a table of values:

t x y
0
0.5
1.0
1.5

...

Once you have a table, plot x and y in the usual way.

ok, thank you