<
< |
-
- Set# BEGINANSWER =
 <--
- Set# SHOWWORK =
| | Diagnostic Tests:
| |
<
< |
-
- Set BEGINANSWER =
<--
- Set SHOWWORK =
| | Diagnostic Tests: | |
>
> |
- What is an answer?
- Set BEGINANSWER =
<--
- Set SHOWWORK =
| | Diagnostic Tests:
|
Welcome to the Math Support Center! | | |
<
< | <--/twistyPlugin twikiMakeVisibleInline--> | | | Link to: MathTest for example MathMode syntax. | |
<
< | <--/twistyPlugin--> | >
> |
| | | 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}
\definecolor{navy}{rgb}{0,0,0.5}
\definecolor{aqua}{rgb}{0,1,1}
\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
{
\color{black}
\begin{math}\displaystyle = 2\Pi radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle \frac{\Pi}{6}\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 360^{\circ}\end{math}
}
\clearpage
\end{document}
STDERR:
This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013)
restricted \write18 enabled.
entering extended mode
(/tmp/zfCzFPjFue/spW5L6T6GU
LaTeX2e <2011/06/27>
Babel and hyphenation patterns for english, dumylang, nohyphenation, lo
aded.
(/usr/share/texlive/texmf-dist/tex/latex/base/article.cls
Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
(/usr/share/texlive/texmf-dist/tex/latex/base/fleqn.clo)
(/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?' option.
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/dvips.def))
(/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
No file spW5L6T6GU.aux.
(/usr/share/texlive/texmf-dist/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] [4] [5] [6] (./spW5L6T6GU.aux) )
(see the transcript file for additional information)
Output written on spW5L6T6GU.dvi (6 pages, 1772 bytes).
Transcript written on spW5L6T6GU.log.
| | |
1.  | |
<
< | <--/twistyPlugin twikiMakeVisibleInline--> | >
> |
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2.  | |
<
< | <--/twistyPlugin twikiMakeVisibleInline--> | >
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< | <--/twistyPlugin twikiMakeVisibleInline--> | >
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<
< | <--/twistyPlugin twikiMakeVisibleInline--> | >
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<
< | <--/twistyPlugin twikiMakeVisibleInline--> | >
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< | <--/twistyPlugin twikiMakeVisibleInline--> | >
> |
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12.  | |
<
< | <--/twistyPlugin twikiMakeVisibleInline--> | >
> |
| | | Trig
Answer the following questions without calculators or trig tables.
Leave answers like  or  as is. |
| | Diagnostic Tests:
| | |
 | |
>
> |  | | | </> <--/twistyPlugin-->
2. |
| | Diagnostic Tests:
|
Welcome to the Math Support Center! | | |
<
< | Link to: MathTest | >
> | <--/twistyPlugin twikiMakeVisibleInline-->
Link to: MathTest for example MathMode syntax.
<--/twistyPlugin-->
<--/twistyPlugin twikiMakeVisibleInline-->
What further explanation could you possibly want here???
<--/twistyPlugin--> | | | 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}
\definecolor{navy}{rgb}{0,0,0.5}
\definecolor{aqua}{rgb}{0,1,1}
\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
{
\color{black}
\begin{math}\displaystyle = 2\Pi radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle \frac{\Pi}{6}\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 360^{\circ}\end{math}
}
\clearpage
\end{document}
STDERR:
This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013)
restricted \write18 enabled.
entering extended mode
(/tmp/e5n6K60i_E/A1DeI_Ej01
LaTeX2e <2011/06/27>
Babel and hyphenation patterns for english, dumylang, nohyphenation, lo
aded.
(/usr/share/texlive/texmf-dist/tex/latex/base/article.cls
Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
(/usr/share/texlive/texmf-dist/tex/latex/base/fleqn.clo)
(/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?' option.
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/dvips.def))
(/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
No file A1DeI_Ej01.aux.
(/usr/share/texlive/texmf-dist/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] [4] [5] [6] (./A1DeI_Ej01.aux) )
(see the transcript file for additional information)
Output written on A1DeI_Ej01.dvi (6 pages, 1772 bytes).
Transcript written on A1DeI_Ej01.log.
| | |
Combine and simplify expressions as much as possible.
Solve equations for x. | |
<
< | %RENDERLIST{"org" depth="2"}% | | | | |
<
< | 1.
%TWISTY{mode="div" showlink="Show..." hidelink="Hide" | >
> | 1.
<--/twistyPlugin twikiMakeVisibleInline--> <--/twistyPlugin-->
2.
<--/twistyPlugin twikiMakeVisibleInline--> <--/twistyPlugin-->
3.
<--/twistyPlugin twikiMakeVisibleInline-->
- Cannot be simplified.
- however, if we are told further that
 then we have a common factor in the denominator:
<--/twistyPlugin-->
4.
%TWISTY{mode="div" showlink="Show Solution..." hidelink="Hide Solution" | | | showimgleft="/pub/TWiki/TWikiDocGraphics/toggleopen-small.gif"
hideimgleft="/pub/TWiki/TWikiDocGraphics/toggleclose-small.gif" style="twikiHelp"}% | |
<
< |  | >
> |  | | | | |
<
< | 
 | >
> |  | | |
</> <--/twistyPlugin--> | |
<
< | 2.
-
- =
-
- =
-
- =
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- =
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- =
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- =
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- =
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- =
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- =
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> | 5.
<--/twistyPlugin twikiMakeVisibleInline--> <--/twistyPlugin-->
6.
<--/twistyPlugin twikiMakeVisibleInline--> <--/twistyPlugin-->
7.
<--/twistyPlugin twikiMakeVisibleInline--> | | | | |
>
> | 
<--/twistyPlugin-->
8.
<--/twistyPlugin twikiMakeVisibleInline--> <--/twistyPlugin-->
9.
<--/twistyPlugin twikiMakeVisibleInline-->
Alternatively:
Recall Pascal's Triangle:
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
...in which elements in a row are the sum of the two elements in the row above it. These numbers are the Binomial Coefficients.
is the cube of the binomial  so the coefficients can be taken from the third row above:
1 3 3 1 and the exponents on  start with  and count down, while the exponents on 
start with  and count up:
 which simplifies to:
as previously.
<--/twistyPlugin-->
10.
<--/twistyPlugin twikiMakeVisibleInline--> <--/twistyPlugin-->
11.
<--/twistyPlugin twikiMakeVisibleInline-->
if a product is zero one of its factors must be zero so:
either  or  or 
and either  or  or 
<--/twistyPlugin-->
12.
<--/twistyPlugin twikiMakeVisibleInline-->
<--/twistyPlugin twikiMakeVisibleInline-->
- Rearrange so the equation is of the form:
-
- and use the Quadratic Formula:
-
<--/twistyPlugin-->
<--/twistyPlugin--> | | | Trig
Answer the following questions without calculators or trig tables.
Leave answers like or as is. | |
<
< |
- Convert:
-
 to radians.
-
 to degrees.
-
 to radians.
- Evaluate:
-
-
-
- Sketch the graph of
| >
> | 1. Convert:
a. to radians.
b. to degrees.
c. to radians.
2. Evaluate:
a.
b.
c.
3. Sketch the graph of
| | | (Make your vertical scale as large as possible.) | |
<
< |
- Given
- Solve the following right triangle:
| >
> | 4. Given
5. Solve the following right triangle:
| | | ( i.e. determine missing sides and angles.) | |
<
< |
-
-
-
-
- Relate to
 and 
-
- %#$\mbox{ \small $\sin{\frac{\pi}{2} -\theta}$ }$%
- %#$\mbox{ \small $\sin{2\theta}$ }$%
- Express in terms of
 of 
| >
> | a.
b.
c.
6. Relate to and
a.
b. 
c. 
7. Express in terms of  and  of  and  : | | | |
| | Diagnostic Tests:
| | | 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}
\definecolor{navy}{rgb}{0,0,0.5}
\definecolor{aqua}{rgb}{0,1,1}
\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
{
\color{black}
\begin{math}\displaystyle = 2\Pi radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle \frac{\Pi}{6}\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 360^{\circ}\end{math}
}
\clearpage
\end{document}
STDERR:
This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013)
restricted \write18 enabled.
entering extended mode
(/tmp/pru5tXs8h0/Ch58nLYZty
LaTeX2e <2011/06/27>
Babel and hyphenation patterns for english, dumylang, nohyphenation, lo
aded.
(/usr/share/texlive/texmf-dist/tex/latex/base/article.cls
Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
(/usr/share/texlive/texmf-dist/tex/latex/base/fleqn.clo)
(/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?' option.
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/dvips.def))
(/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
No file Ch58nLYZty.aux.
(/usr/share/texlive/texmf-dist/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] [4] [5] [6] (./Ch58nLYZty.aux) )
(see the transcript file for additional information)
Output written on Ch58nLYZty.dvi (6 pages, 1772 bytes).
Transcript written on Ch58nLYZty.log.
| |
>
> | | | | Algebra | |
>
> | | | | Combine and simplify expressions as much as possible.
Solve equations for x. | |
<
< |
-
-
-
| >
> | %RENDERLIST{"org" depth="2"}%
1.
1.
-
- =
-
- =
-
- =
-
- =
-
-
- =
-
- =
-
| | |
-
| |
<
< | | >
> |
-
- =
-
- =
-
| | |
-
| |
<
< | | >
> |
-
- =
-
- =
-
- =
-
- =
-
- =
-
| | |
-
| |
<
< | | >
> |
-
- =
-
- =
-
- =
-
- =
-
| | |
-
| |
<
< | | >
> |
-
- =
-
- =
-
- =
-
- =
-
| | |
-
-
-
|
| | Diagnostic Tests:
| | | | |
<
< | | >
> | | | |
-
|
|
<
< | Cornell University Mathematics Support Center | >
> | Diagnostic Tests: | | |
|
Welcome to the Math Support Center!
Link to: MathTest
|
|
|
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}
\definecolor{navy}{rgb}{0,0,0.5}
\definecolor{aqua}{rgb}{0,1,1}
\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
{
\color{black}
\begin{math}\displaystyle = 2\Pi radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle \frac{\Pi}{6}\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 360^{\circ}\end{math}
}
\clearpage
\end{document}
STDERR:
This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013)
restricted \write18 enabled.
entering extended mode
(/tmp/tmN0VXay1C/ON9vc80bjC
LaTeX2e <2011/06/27>
Babel and hyphenation patterns for english, dumylang, nohyphenation, lo
aded.
(/usr/share/texlive/texmf-dist/tex/latex/base/article.cls
Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
(/usr/share/texlive/texmf-dist/tex/latex/base/fleqn.clo)
(/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?' option.
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/dvips.def))
(/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
No file ON9vc80bjC.aux.
(/usr/share/texlive/texmf-dist/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] [4] [5] [6] (./ON9vc80bjC.aux) )
(see the transcript file for additional information)
Output written on ON9vc80bjC.dvi (6 pages, 1772 bytes).
Transcript written on ON9vc80bjC.log.
| |
<
< | Diagnostic Tests
Algebra
Simplify, if possible: | >
> |
Algebra
Combine and simplify expressions as much as possible.
Solve equations for x. | | |
-
| |
<
< |
-
-
-
-
-
-
| >
> |
-
-
-
-
-
| | |
-
-
| |
<
< |
-
-
-
Trig
-
-
| >
> |
-
-
-
Trig
Answer the following questions without calculators or trig tables.
Leave answers like or as is.
- Convert:
- to radians.
- to degrees.
- to radians.
- Evaluate:
-
-
-
| | |
-
-
|
| | Cornell University Mathematics Support Center
|
Welcome to the Math Support Center! | | | |
-- DickFurnas - 01 Mar 2007 | |
>
> |
| META TOPICMOVED |
by="DickFurnas" date="1172782266" from="Main.MathSupportCenter" to="MSC.DiagnosticTest" |
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| | Cornell University Mathematics Support Center
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Welcome to the Math Support Center! | | |
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Link to: MathTest | | |
Diagnostic Tests
Algebra 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}
\definecolor{navy}{rgb}{0,0,0.5}
\definecolor{aqua}{rgb}{0,1,1}
\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
{
\color{black}
\begin{math}\displaystyle = 2\Pi radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle \frac{\Pi}{6}\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 360^{\circ}\end{math}
}
\clearpage
\end{document}
STDERR:
This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013)
restricted \write18 enabled.
entering extended mode
(/tmp/gz3jdMnFde/Hodyxjz4mt
LaTeX2e <2011/06/27>
Babel and hyphenation patterns for english, dumylang, nohyphenation, lo
aded.
(/usr/share/texlive/texmf-dist/tex/latex/base/article.cls
Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
(/usr/share/texlive/texmf-dist/tex/latex/base/fleqn.clo)
(/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?' option.
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/dvips.def))
(/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
No file Hodyxjz4mt.aux.
(/usr/share/texlive/texmf-dist/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] [4] [5] [6] (./Hodyxjz4mt.aux) )
(see the transcript file for additional information)
Output written on Hodyxjz4mt.dvi (6 pages, 1772 bytes).
Transcript written on Hodyxjz4mt.log.
| |
<
< | Simplify: | >
> | Simplify, if possible: | | | | |
<
< | | >
> |
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| | |
Trig | |
>
> |
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-
| | |
-- DickFurnas - 01 Mar 2007 |
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>
> | Cornell University Mathematics Support Center
|
Welcome to the Math Support Center!
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Diagnostic Tests
Algebra
Simplify:
Trig
-- DickFurnas - 01 Mar 2007Error 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}
\definecolor{navy}{rgb}{0,0,0.5}
\definecolor{aqua}{rgb}{0,1,1}
\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
{
\color{black}
\begin{math}\displaystyle = 2\Pi radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle \frac{\Pi}{6}\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 360^{\circ}\end{math}
}
\clearpage
\end{document}
STDERR:
This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013)
restricted \write18 enabled.
entering extended mode
(/tmp/gArwXLg92I/0Cki9xzVFZ
LaTeX2e <2011/06/27>
Babel and hyphenation patterns for english, dumylang, nohyphenation, lo
aded.
(/usr/share/texlive/texmf-dist/tex/latex/base/article.cls
Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
(/usr/share/texlive/texmf-dist/tex/latex/base/fleqn.clo)
(/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?' option.
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/dvips.def))
(/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
No file 0Cki9xzVFZ.aux.
(/usr/share/texlive/texmf-dist/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] [4] [5] [6] (./0Cki9xzVFZ.aux) )
(see the transcript file for additional information)
Output written on 0Cki9xzVFZ.dvi (6 pages, 1772 bytes).
Transcript written on 0Cki9xzVFZ.log.
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