Question

Graph the curve with parametric equations $$ x=\sin t \quad y=\sin 2 t \quad z=\cos 4 t $$ Explain its shape by graphing its projections onto the three coordinate planes.

   Graph the curve with parametric equations

$$
x=\sin t \quad y=\sin 2 t \quad z=\cos 4 t
$$


Explain its shape by graphing its projections onto the three coordinate planes.
Single Variable Calculus: Early Transcendentals
Single Variable Calculus: Early Transcendentals
James Stewart,… 9th Edition
Chapter 13, Problem 46 ↓
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Graph the curve with parametric equations $$ x=\sin t \quad y=\sin 2 t \quad z=\cos 4 t $$ Explain its shape by graphing its projections onto the three coordinate planes.
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Transcript

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00:01 The problem is graph the curve with parametric equations, x equal to sine t, y is equal to sine t, z is equal to cosine to 40, explaining its shape, like graphing its projections onto the three coordinate planes.
00:22 So first, by using some graphing device, we can graph the curve as follows.
00:30 This is the curve of the given parametric equations...
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