From Fundamental circular motion how do we get the tangent line when given t?
So I know fundamental circular motion is $\vec{p} = \langle{\cos(t)},{\sin(t)}\rangle$ and we are given the equation: $\vec{p}(t) = \langle{t} + \cos(4t), {− \sin(4t)}\rangle$ and $t=\pi/3$. I want to know how from fundamental motion we can write out a parametrization equation and with that find a line tangent to that point.
Comment: Does this refer to a particular problem?