Difference between revisions of "Cosine"
From specialfunctionswiki
Line 3: | Line 3: | ||
<gallery> | <gallery> | ||
− | File:Cosine.png|Graph of $\cos$ on $\mathbb{R}$. | + | File:Cosine.png|center|Graph of $\cos$ on $\mathbb{R}$. |
− | File:Complex cos.jpg|Domain coloring of analytic continuation of $\cos$ to $\mathbb{C}$. | + | File:Complex cos.jpg|center|Domain coloring of analytic continuation of $\cos$ to $\mathbb{C}$. |
</gallery> | </gallery> |
Revision as of 05:48, 31 October 2014
The cosine function, $\cos \colon \mathbb{R} \rightarrow \mathbb{R}$ is the unique solution of the second order initial value problem $$y=-y;y(0)=1,y'(0)=0.$$
- Cosine.png
Graph of $\cos$ on $\mathbb{R}$.
- Complex cos.jpg
Domain coloring of analytic continuation of $\cos$ to $\mathbb{C}$.