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Problems PreCal 1508 PLTL Workshop, November 16, 2011\\
PLs: Alex Knaust, Edith Mejia. Lecturer: Yi-Yu Liao\\

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Please do the problems that you feel will help your group the most first (you don't have to do them in order). All handouts are available at \url{http://alex.knaust.info/pltlfall2011/}

\begin{enumerate}
\item Solve the following equations
\begin{enumerate}
	\item $2\cos {x} + 1 = 0$
	\item $(3\tan^2{x} - 1)(\tan^2{x} - 3) = 0$
	\item $2\sin^2{2x} = 1$
	\item $\sec{x} + \tan{x} = 1$
	\item $\sec^2{x} - \sec{x} = 2$
	\item $2\sin{x} + \csc{x} = 0$
\end{enumerate}

\item Find the following values
\begin{enumerate}
\item $\arcsin(\sin(\frac{\pi}{4}))$
\item $\sin(\arcsin(\frac{1}{\sqrt{2}}))$
\item $\arctan(-\sqrt{3})$
\item $\arccos(\sin(\frac{\pi}{3}))$
\end{enumerate}

\item Verify the following identities
\begin{enumerate}
\item $tan^5{x} = \tan^3{x}\sec^2{x} - \tan^3{x}$
\item $sin^4{x} + \cos^4{x} = 1$
\end{enumerate}

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