Exercise 12.1

Exercise 12.1#

NumPy has a number of Mathematical functions and Constants. Use these to plot the following:

(1) $s i n (x)$ for $0 < x < 2 π$

(2) $| x - 2 |$ for $0 < x < 3$

Make sure to label the $x$ and $y$ axis.

Plot a unit circle. Remember that the circle can be parameterized as:

(3)#

\begin{aligned} x (s) & = \cos (2 π s) \\ y (s) & = \sin (2 π s) \end{aligned}

for $0 < s < 1$ .

Hint: You can use the set_aspect() method of the axis object to prevent the circle from distorting.

Plot a spiral, parameterized by:

(4)#

\begin{aligned} x (s) & = s \cos (2 π s) \\ y (s) & = s \sin (2 π s) \end{aligned}

for $0 < s < 1$ .