Added a warm-up

Misc/Warm-Ups/sin.tex

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+\documentclass[
+	solutions,
+	nowarning,
+	singlenumbering,
+	nopagenumber
+]{../../resources/ormc_handout}
+
+\usepackage[linguistics]{forest}
+
+\begin{document}
+
+	\maketitle
+		{Warm-Up: Exact answers}
+		{Prepared by Mark on \today.}
+
+	\vspace{2mm}
+
+	Compute the exact value of $\sin(x^\circ)$ for as many integers $x \in [0, 90]$ as you can.
+
+	\generic{Helpful identities:}
+	This is not a complete list. In many cases, geometry is more helpful than algebra. \\
+	Note that the first idenity is only valid if $\alpha \in [0, 90]$.
+
+	\vspace{2mm}
+	$\sin(\frac{\alpha}{2}) = \sqrt{\frac{1 - \cos(\alpha)}{2}}$ \\
+	$\sin(\alpha + \beta) = \sin(\alpha)\cos(\beta) + \cos(\alpha)\sin(\beta)$ \\
+	$\sin(3\alpha) = 3\sin(\alpha) - 4\sin(\alpha)^3$
+
+	\begin{solution}
+		The solutions to these get ugly quickly.
+
+		\vspace{5mm}
+
+		A good order to go in is 45, 30, 60, 15, 75, 36, 18, 3, 6, 72, 9, 1. \\
+		You should be able to get all of these using only geometery and the identities above.
+	\end{solution}
+
+\end{document}