Difference between revisions of "Cosine"

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The cosine function, $\cos \colon \mathbb{R} \rightarrow \mathbb{R}$ is the unique solution of the second order initial value problem
 
The cosine function, $\cos \colon \mathbb{R} \rightarrow \mathbb{R}$ is the unique solution of the second order initial value problem
$$y''=-y;y(0)=1.$$
+
$$y''=-y;y(0)=1,y'(0)=0.$$

Revision as of 20:32, 2 October 2014

The cosine function, $\cos \colon \mathbb{R} \rightarrow \mathbb{R}$ is the unique solution of the second order initial value problem $$y=-y;y(0)=1,y'(0)=0.$$