Mathematics-Online lexicon: Tangent and Cotangent Function

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	Mathematics-Online lexicon:
	Tangent and Cotangent Function

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overview

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)

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automatically generated 4/ 7/2008