Geometry: Parametric curves and vectors
Lissajous figures
Consider the point #P# given by equations
\[\begin{cases}
x(t) & = -\sin(t+{{\pi}\over{4}}), \\
y(t) & = 2\cdot \sin(-t-{{\pi}\over{4}}).
\end{cases}\] where #t# ranges from #- \pi# to #\pi#.
Determine how often the point #P# passes through the origin.
\[\begin{cases}
x(t) & = -\sin(t+{{\pi}\over{4}}), \\
y(t) & = 2\cdot \sin(-t-{{\pi}\over{4}}).
\end{cases}\] where #t# ranges from #- \pi# to #\pi#.
Determine how often the point #P# passes through the origin.
time(s) |
Unlock full access
Teacher access
Request a demo account. We will help you get started with our digital learning environment.
Student access
Is your university not a partner?
Get access to our courses via Pass Your Math independent of your university. See pricing and more.
Or visit omptest.org if jou are taking an OMPT exam.
Or visit omptest.org if jou are taking an OMPT exam.