► My Trigonometry course: https://www.kristakingmath.com/trigonometry-course
In this video we talk about how to sketch a parametric curve by plotting points along the curve as the parameter value changes.
Keep in mind that parametric curves are different than cartesian curves. Cartesian curves are defined in terms of x and y and can therefore be sketched in rectangular coordinate space.
On the other hand, parametric curves are defined by two equations; one for x in terms of t and the other for y in terms of t, assuming t is the parameter value. Therefore, when we want to sketch a parametric curve, we have to sketch it at all times in relation to the parameter value t.
The orientation of the parametric curve will be based on the direction of increasing t. So whenever we sketch a parametric curve, we have to indicate the direction of increasing t by drawing small direction arrows along the graph.
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If you could use some extra help with your math class, then check out Krista’s website // http://www.kristakingmath.com
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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com
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Tagged under: educational,Krista King, ,precalculus,parametric curves,orientation parametric curve,calculus,trigonometry,precalc,trig,orientation,parametric
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