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%TCIDATA{<META NAME="Title" CONTENT="Reference/Mathematics/Trigonometry">}
%TCIDATA{Created=Mon Aug 19 14:52:24 1996}
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\section{Trigonometry\label{Trigonometry}}

The word ``trigonometry'' means ``triangle measurement.'' The subject
developed as people used properties of triangles to develop methods for
surveying and navigation, and to solve problems in astronomy. Modern
trigonometry deals with topics such as trigonometric series, circular
functions, and complex numbers, which have little connection with triangle
measurement and which find applications in such diverse fields as the
analysis of electric circuits, sound waves, and business cycles.

\subsection{Contents}

\subsubsection{Trigonometric Functions}

\hyperref{+ The Trigonometric Point}{}{}{tr01_01.tex}

\hyperref{+ The Trigonometric Functions}{}{}{tr01_02.tex}

\hyperref{+ Graphs of Trigonometric Functions}{}{}{tr01_03.tex}

\subsubsection{Right Angle Trigonometry}

\hyperref{+ Angles}{}{}{tr02_01.tex}

\hyperref{+ Trigonometric Functions as Ratios}{}{}{tr02_02.tex}

\hyperref{+ Tables of Trigonometric Functions}{}{}{tr02_03.tex}

\hyperref{+ Solving Right Triangles}{}{}{tr02_04.tex}

\subsubsection{Trigonometric Identities}

\hyperref{+ The Fundamental Identities}{}{}{tr03_01.tex}

\hyperref{+ The Addition Formulas}{}{}{tr03_02.tex}

\hyperref{+ Double and Half Angle Formulas}{}{}{tr03_03.tex}

\hyperref{+ Miscellaneous Formulas}{}{}{tr03_04.tex}

\subsubsection{Solution of General Triangles}

\hyperref{+ The Law of Sines}{}{}{tr04_01.tex}

\hyperref{+ The Law of Cosines}{}{}{tr04_02.tex}

\hyperref{+ The (First) Law of Tangents}{}{}{tr04_03.tex}

\hyperref{+ Semiperimeter Formulas and the Second Law of Tangents}{}{}{%
tr04_04.tex}

\subsubsection{Inverse Trigonometric Functions and Trigonometric Equations}

\hyperref{+ The Inverse Sine and Cosine Functions}{}{}{tr05_01.tex}

\hyperref{+ The Inverse Tangent, Cotangent, Secant and Cosecant Functions}{}{%
}{tr05_02.tex}

\hyperref{+ Trigonometric Equations}{}{}{tr05_03.tex}

\hyperref{+ Simple Harmonic Motion}{}{}{tr05_04.tex}

\noindent

\subsection{\ Related Reference Topics}

{\small \hyperref{Algebra}{}{}{Al_contents.tex}}

{\small \hyperref{Geometry}{}{}{GE_contents.tex}}

{\small \hyperref{Calculus}{}{}{CAL_contents.tex}}

{\small \hyperref{Tables of Trigonometric Facts}{}{}{TAB_trigonometry.tex}}%
\hfill

\subsection{\ Related Scientific Notebook Topics}

{\small \hyperref{Basic Techniques for Doing Mathematics}{}{}{%
../../Help/DM1.tex}}

{\small \hyperref{Numbers, Functions, and Units}{}{}{../../Help/DM2.tex}}

{\small \hyperref{Algebra}{}{}{../../Help/DM3.tex}}

{\small \hyperref{Trigonometry}{}{}{../../Help/DM4.tex}}

{\small \hyperref{Function Definitions}{}{}{../../Help/DM5.tex}}

{\small \hyperref{Plotting Curves and Surfaces}{}{}{../../Help/DM6.tex}}

{\small \hyperref{Calculus}{}{}{../../Help/DM7.tex}}

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