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\begin{center}
\textbf{Review for Test 2 - March 27, 2002}
\end{center}

\begin{enumerate}
\item  Test is Monday, April 1 and will cover Chapter 6.
\item  You can have one notebook sized ``cheat-sheet.''  You are responsible for putting any formulas you might need on this.
\item  Identities:
	\begin{enumerate}
	\item  Be familiar with all of them, especially $\sin^2\theta + \cos^2\theta =1$.
	\item  Be able to simplify trigonometric expressions (6.1 and 6.2)
	\item  Be able to prove (or disprove) trigonometric identities (6.3).
		Remember to only work with one side of the equation at a time.
	\end{enumerate}
\item  Inverse trig functions (6.4)
	\begin{enumerate}
	\item  Be able to evaluate inverse trig functions
	\item  Be able to simplify composition of trig functions and inverse trig functions 
		(don't forget to draw the triangle)
	\end{enumerate}
\item  Solving equations
	\begin{enumerate}
	\item  Know how to solve algebraically and graphically (graphing checks your work)
	\item  Remember the first step is to get trig functions by themselves.
	\item  Remember that once you get a trig function by itself, you take the inverse trig function and use the unit circle.
	\item  Don't forget the $+2k\pi$, and remember to put it in the right spot.
	\end{enumerate}
\end{enumerate}

\newpage

Here is some sort of ``sample test.''
Do not be shocked if the actual test differs substantially and is much longer or shorter.

\begin{enumerate}
\item  Prove the following identities
	\begin{enumerate}
	\item  \[ \frac{1+\cos 2\theta}{\sin 2\theta} = \cot \theta \]
	\item  \[ \frac{\tan t + \sin t}{2 \tan t} = \cos^2 \left(\frac{t}{2} \right) \]
	\item  $2\sin x \cos^3x + 2 \sin^3x \cos x = \sin 2x$
	\end{enumerate}
\item  Solve the following equations
	\begin{enumerate}
	\item  $2\cos^2x + 3\cos x=-1$
	\item  $\sin 4x + 2 \sin 2x = 0$
	\item  $2\sin^2 \theta+7\sin \theta =4$
	\end{enumerate}
\item  Simplify the following expressions
	\begin{enumerate}
	\item  $\cos(\tan^{-1}(2x))$
	\item  $\cos(2\sin^{-1}(y/2))$
	\item  $\sin(\sin^{-1}(x) + \sin^{-1}(x/2)$
	\end{enumerate}
\end{enumerate}











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