My $10$-year-old is playing around with the Desmos graphing calculator, we're trying to input the following to create a spiral, (we found it on wikipedia here):
$$x = t + \frac{\cos(nt)}{t},\quad y = t + \frac{\sin(nt)}{t},\quad t > 0,\quad n = 14.$$
Desmos does not like the commas. How do we do this in Desmos? I'm assuming it's a simple syntax issue.
Best Answer
Desmos will see $(x(t),y(t))$ as a parametric function. The Desmos input should be $$\left(t+\frac{\cos nt}t,t+\frac{\sin nt}t\right)$$ and then an extra line appears in which the limits of $t$ may be specified. The lower limit is $0$ and the upper limit is whatever is convenient.
(In a separate cell, $n=14$ should be defined first.)