Exercise 12.1#
Question 1#
NumPy has a number of Mathematical functions and Constants. Use these to plot the following:
(1) \(sin(x)\) for \(0 < x < 2\pi\)
(2) \(|x - 2|\) for \(0 < x < 3\)
Make sure to label the \(x\) and \(y\) axis.
Question 2#
Plot a unit circle. Remember that the circle can be parameterized as:
(3)#\[\begin{align}
x(s) &= \cos(2 \pi s)\\
y(s) &= \sin(2 \pi s)
\end{align}\]
for \(0 < s < 1\).
Hint: You can use the set_aspect() method of the axis object to prevent the circle from distorting.
Question 3#
Plot a spiral, parameterized by:
(4)#\[\begin{align}
x(s) &= s \cos(2 \pi s)\\
y(s) &= s \sin(2 \pi s)
\end{align}\]
for \(0 < s < 1\).
