logistic_guy
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Sketch.
\(\displaystyle \bold{r}(t) = 4\cos t\bold{i} - 3\sin t\bold{j}\)
\(\displaystyle \bold{r}(t) = 4\cos t\bold{i} - 3\sin t\bold{j}\)
sketch - 2
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logistic_guy
Senior Member
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Piece of cake as you are now an expert in sketching.
\(\displaystyle \cos t = \frac{x}{4}\)
\(\displaystyle \sin t = -\frac{y}{3}\)
\(\displaystyle \cos^2 t + \sin^2 t = \frac{x^2}{16} + \frac{y^2}{9} = 1\)
It is just an ellipse. And I am sure that you can sketch it perfectly. The trace is clockwise or counterclockwise? Be smart!
\(\displaystyle \cos t = \frac{x}{4}\)
\(\displaystyle \sin t = -\frac{y}{3}\)
\(\displaystyle \cos^2 t + \sin^2 t = \frac{x^2}{16} + \frac{y^2}{9} = 1\)
It is just an ellipse. And I am sure that you can sketch it perfectly. The trace is clockwise or counterclockwise? Be smart!