Exercise 6: Trig functions

(15 minutes)

The quantity theta, or the angle that the beam makes with the z-axis, is calculated by:

\[ \theta = \arctan\left(\frac{p_{T}}{p_{z}}\right) \]

The units are radians. Define a new column for \(\theta\) and plot it as a histogram. One more time: don’t forget to label the axes!

Hint

I’ll make your life a little easier: the math function you want is atan2(y,x), which computes the arctangent of y/x. It’s better to use this function than atan(y/x), because the atan2 function correctly handles the case when x=0.

xkcd radians_are_cursed — Figure 41: https://xkcd.com/2748/ by Randall Munroe