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\Huge{Quiz 1}

Math 253
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\huge Name:

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\noindent{Show \emph{all} your work (algebraically or geometrically) for each and simplify. No credit is given without supporting work.}

\begin{enumerate}
\item $[2]$ Explain when and why $\sqrt{1+\tan^2\theta }=\sec \theta$.
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\item $[3]$ In case you don't remember, consider the diagram below and then find the following:
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$\cos \frac{\pi}{3}$&$\sin \frac{\pi}{3}$\\
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\item $[5]$ Use the facts from the front to find the length of the curve $\ln (\cos x)$ from $0\leq x \leq \frac{\pi}{3}$.

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