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\begin{document}

\begin{center}
{\Large TEST 2

Math 106 - 3}
\end{center}
\vspace{.1in}
You have 50 minutes to complete the test.
If it says, ``no calculator'', make sure I can follow your work without 
a calculator.
Show all relevant work (or else no credit).  
Make your work legible, if I can't read it, I can't grade it.  
Every problem is worth 10 points.
(There are only 70 points possible).
\vspace{.1in}

Name \rule{5in}{.2pt}

\vspace{.1in}

\begin{enumerate}

\item  Draw the angle $\frac{13}{4}\pi$ on the unit circle.
\vspace{3in}

\item  (No calculator)
If $\cos(\theta)=.9$, and $0 \leq \theta \leq \frac{\pi}{2}$.
Find $\sin(\theta)$.
\vspace{3in}

\item  (No calculator)
If $\cos(\theta)=-.1$, and $\sin(\theta) > 0$, find $\tan(\theta)$.
%\vspace{3in}
\newpage

\item  In the triangle below, find the length of the missing sides $a$ and $b$.

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\put(70,-10){\mbox{b}}
\put(70,50){12}
\put(8,55){$15^{\circ}$}
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\vspace{2in}

\item  (No calculator)  Graph 2 periods of the function $y=3\sin(2x+\pi)$. 
Label the $x$-intercepts, amplitude, and period.

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\put(-2,-40){\line(1,0){4}}
%hash marks on x-axis
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%\vspace{1in}
\newpage

\item  (No calculator)
Find $a,b,c$ so that the graph of $y=a\sin(bx+c)$ matches the figure:

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%hash marks on y-axis
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\put(-2,-20){\line(1,0){4}}
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\vspace{1in}

\item  (No calculator) Graph $y=\sec(\frac{1}{2}x)$.  Label the period clearly.

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\put(-2,30){\line(1,0){4}}
\put(-2,40){\line(1,0){4}}
%hash marks on y-axis
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\put(-2,-20){\line(1,0){4}}
\put(-2,-30){\line(1,0){4}}
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%hash marks on x-axis
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\put(-20,-2){\line(0,1){4}}
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\vspace{1in}


\end{enumerate}

\end{document}