The position of a particle is given by the parametric equations
$x = \cos(4t)$,
$y = \sin(6t)$,
as $t$ ranges over all real numbers.
y
P
Q
R
S
x
In the time interval from $-\pi/4$ to $\pi/4$, our particle visits point P at time p, visits point Q at times $q_1$ and $q_2$ such that $q_1 < q_2$ visits point R at time r, and visits point S at
time s. Answer with the values of the five variables
$p, q_1, q_2, r, s$
in that order.
