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Mathematics-Online lexicon:

Tangent and Cotangent Function


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The tangent and cotangent function are defined by

$\displaystyle \tan t =\frac{\sin t}{\cos t},\quad \cot t=\frac{\cos t}{\sin t} $

respectively. Relative to the algebraic sign they refer to the ratio of the legs of a right triangle.

\includegraphics[height=5cm]{a_tangenscotangens_bild1.eps}      \includegraphics[height=5cm]{a_tangenscotangens_bild2.eps}      \includegraphics[height=5cm]{a_tangenscotangens_bild3.eps}
    tangent   cotangent

Some particular values are

\begin{displaymath}
\begin{array}{\vert c\vert\vert c\vert c\vert c\vert c\vert ...
... & \sqrt{3} & 1 & \frac{1}{3}\sqrt{3} &0 \\
\hline
\end{array}\end{displaymath}

(Authors: Höllig/Kopf/Knesch/Abele)

[Examples] [Links]

  automatically generated 4/ 7/2008