Graph each pair of parametric equations. (2 points each) x = 3 sin3t y = 3 cos3t AND GRAPH x = 7 sin t + sin 7t y = 7 cos t + cos 7t A STEP BY STEP WOULD BE VERY HELPFUL, NEW TO THIS LESSON
If you're ever unsure about what an equation looks like, just pick points that seem relevant and plot them.
thats just it everything about parametric equations confuse me.
I have no idea where to start
\[x=3\sin(3t) \\ y=3\cos(3t)\]Is just a set of equations with input t. Choose various values for t and plot the corresponding (x,y) points.
wow thats it,?
Yep. All parameterising does is link x and y to a single variable t.
so if i chose 5 it would be 5=3sin(3(5)) or no?
If t=5, then:\[x=3\sin(3*5)\\ y=3\cos(3*5)\]So you get the point:\[<x,y>=<3\sin(15),3\cos(15)>\]
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