A program draws the wave y = 4 * np.sin(5 * x) for x from 0 to 2π…

$y = A\sin\big(B(x - C)\big)$ has amplitude $A$, period $\dfrac{2\pi}{B}$ and phase shift $C$ to the right. $\tan x$ repeats every $\pi$ and has asymptotes where $\cos x = 0$. np.linspace(a, b, n) makes $n$ numbers with both ends included. Angles in degrees must be converted with np.radians before np.sin.