Tagged Questions
1
vote
1answer
255 views
Parametric equation of a cone
I usually use the following parametric equation to find the surface area of a regular cone $z=\sqrt{x^2+y^2}$:
$$x=r\cos\theta$$
$$y=r\sin\theta$$
$$z=r$$
And make $0\leq r \leq 2\pi$, $0 \leq \theta ...
1
vote
1answer
74 views
Parametric Equation of a Particle Movement inside a Vortex in a Rectangular Box
I am trying to simulate the movement of a particle in a vortex in a rectangular box, I am currently using an ellipse but that causes the particle to collide with the walls more that I want.
The ...
28
votes
3answers
1k views
Do “Parabolic Trigonometric Functions” exist?
The parametric equation
$$\begin{align*}
x(t) &= \cos t\\
y(t) &= \sin t
\end{align*}$$
traces the unit circle centered at the origin ($x^2+y^2=1$). Similarly,
$$\begin{align*}
x(t) ...
1
vote
1answer
331 views
Find intersection(s) between parametrized parabola and a line
I'm trying to find the value(s) of the parameter $t$ at the intersection point(s) between a 2D general parabola (as a parametric function of $t$) and a line whose equations can be derived from two ...
