\documentclass[minion]{homework}

\newcommand{\Reals}{\mathbb{R}}
\doclabel{Math F490: Homework 1}
\docdate{Due: January 25, 2022}

\begin{document}
\begin{problems}
\problem Starting from the formula $e^{z_1}e^{z_2} = e^{z_1+z_2}$
for all complex numbers $z_1$ and $z_2$, and using the fact
that $e^{i\theta}=\cos\theta+i\sin\theta$ for all $\theta\in\Reals$,
show
\begin{align*}
\sin(\theta+\phi) &= \sin(\theta)\cos(\phi) + \cos(\theta)\sin(\phi)\\
\cos(\theta+\phi) &= \cos(\theta)\cos(\phi) -\sin(\theta) \sin(\phi).
\end{align*}

\problem Text: 1.1.2
\problem Text: 1.1.3

\problem  Text: 1.2.3 (You'll want to read page 6 first)

\problem  Text: 1.2.4

\problem  Text: 1.2.5

\end{problems}

\end{document}
