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Mark 2023-04-03 11:40:01 -07:00
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\generic{Helpful identities:} \generic{Helpful identities:}
This is not a complete list. In many cases, geometry is more helpful than algebra. \\ This is not a complete list. In many cases, geometry is more helpful than algebra. \\
Note that the first idenity is only valid if $\alpha \in [0, 90]$. Note that the first identity is only valid if $\alpha \in [0, 90]$.
\vspace{2mm} \vspace{2mm}
$\sin(\frac{\alpha}{2}) = \sqrt{\frac{1 - \cos(\alpha)}{2}}$ \\ $\sin(\frac{\alpha}{2}) = \sqrt{\frac{1 - \cos(\alpha)}{2}}$ \\
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\vspace{5mm} \vspace{5mm}
A good order to go in is 45, 30, 60, 15, 75, 36, 18, 3, 6, 72, 9, 1. \\ 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. You should be able to get all of these using only geometry and the identities above.
\end{solution} \end{solution}
\end{document} \end{document}