Trig Diagnostic Test

Trig

Answer the following questions without calculators or trig tables.
Leave answers like or as is.

1. Convert:

a. to radians.

  • Recall that a full circle is:

  • Use the principle of Dimensional Analysis to convert the units:

b. to degrees.

c. to radians.

2. Evaluate:

a.

b.

c.

3. Sketch the graph of

(Make your vertical scale as large as possible.)

4. Given , find

5. Solve the following right triangle:

( i.e. determine missing sides and angles.)

a.

b.

c.

6. Relate to and

a.

b.

c.

7. Express in terms of and of A and B :


-- DickFurnas - 21 Apr 2007
Error during latex2img:
ERROR: problems during latex
INPUT:
\documentclass[fleqn,12pt]{article}
\usepackage{amsmath}
\usepackage[normal]{xcolor}
\setlength{\mathindent}{0cm}
\definecolor{teal}{rgb}{0,0.5,0.5}
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\definecolor{lime}{rgb}{0,1,0}
\definecolor{maroon}{rgb}{0.5,0,0}
\definecolor{silver}{gray}{0.75}
\usepackage{latexsym}
\begin{document}
\pagestyle{empty}
\pagecolor{white}
{
\color{black}
\begin{math}\displaystyle = \frac{\Pi}{6} radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = \frac{60\Pi}{360} radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle 30^{\circ} \dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
}
\clearpage
\end{document}
STDERR:
This is pdfTeXk, Version 3.141592-1.40.3 (Web2C 7.5.6)
 %&-line parsing enabled.
entering extended mode
(/tmp/OXaLN54A9J/x_PXCJAHFs
LaTeX2e <2005/12/01>
Babel  and hyphenation patterns for english, usenglishmax, dumylang, noh
yphenation, arabic, basque, bulgarian, coptic, welsh, czech, slovak, german, ng
erman, danish, esperanto, spanish, catalan, galician, estonian, farsi, finnish,
 french, greek, monogreek, ancientgreek, croatian, hungarian, interlingua, ibyc
us, indonesian, icelandic, italian, latin, mongolian, dutch, norsk, polish, por
tuguese, pinyin, romanian, russian, slovenian, uppersorbian, serbian, swedish, 
turkish, ukenglish, ukrainian, loaded.
(/usr/share/texmf/tex/latex/base/article.cls
Document Class: article 2005/09/16 v1.4f Standard LaTeX document class
(/usr/share/texmf/tex/latex/base/fleqn.clo)
(/usr/share/texmf/tex/latex/base/size12.clo))
(/usr/share/texmf/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?' option.
(/usr/share/texmf/tex/latex/amsmath/amstext.sty
(/usr/share/texmf/tex/latex/amsmath/amsgen.sty))
(/usr/share/texmf/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texmf/tex/latex/amsmath/amsopn.sty))
(/usr/share/texmf/tex/latex/xcolor/xcolor.sty
(/usr/share/texmf/tex/latex/config/color.cfg)
(/usr/share/texmf/tex/latex/graphics/dvips.def))
(/usr/share/texmf/tex/latex/base/latexsym.sty)
No file x_PXCJAHFs.aux.
(/usr/share/texmf/tex/latex/base/ulasy.fd) [1] [2]
! Extra }, or forgotten $.
 }
                 
l.27 \begin{math}\displaystyle 30^{\circ} \dot $
                                                \frac{ 2\Pi radians }{ 360^{...

! Missing } inserted.
 
                }
l.27 \begin{math}\displaystyle 30^{\circ} \dot $
                                                \frac{ 2\Pi radians }{ 360^{...

! Missing } inserted.
 
                }
l.27 ...dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }
                                                  \end{math}
! Extra }, or forgotten \endgroup.
\frac  #1#2->{\begingroup #1\endgroup \@@over #2}
                                                 
l.27 ...dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }
                                                  \end{math}

! LaTeX Error: Bad math environment delimiter.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H   for immediate help.
 ...                                              
                                                  
l.27 ...{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
                                                  
[3] (./x_PXCJAHFs.aux) )
(see the transcript file for additional information)
Output written on x_PXCJAHFs.dvi (3 pages, 1076 bytes).
Transcript written on x_PXCJAHFs.log.


This topic: MSC > DiagnosticTest > DiagnosticTestTrig
Topic revision: r3 - 2007-12-10 - 20:28:20 - DickFurnas
 
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