Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag

Mathematics-Online lexicon:

Sine and Cosine


A B C D E F G H I J K L M N O P Q R S T U V W X Y Z overview

$\displaystyle (\cos t,\sin t), \quad t\in \mathbb{R} $

denotes the coordinates of the vector $ (1,0)$ rotated by the angle $ t$.

\includegraphics[bb=138 550 252 664,clip,height=.25\linewidth]{a_sinuscosinus_bild1.eps}      \includegraphics[bb=133 546 461 668,clip,height=.25\linewidth]{a_sinuscosinus_bild2.eps}

Obviously both of these circular functions are $ 2\pi$-periodic and it holds

Some special values are

\begin{displaymath}
\begin{array}{\vert c\vert\vert c\vert c\vert c\vert c\vert ...
...& \frac{1}{2}\sqrt{2} & \frac{1}{2} &
0 \\
\hline
\end{array}\end{displaymath}

see also:


[Examples]

  automatically generated 4/ 7/2008