Difference between revisions of "Sum of squares of delta cosine and delta sine"
From timescalewiki
(Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Proposition:</strong> The following formula ...") |
|||
| (One intermediate revision by the same user not shown) | |||
| Line 1: | Line 1: | ||
| − | + | ==Theorem== | |
| − | + | The following formula holds: | |
$$\cos_p^2(t,t_0)+\sin_p^2(t,t_0)=e_{\mu p^2}(t,t_0),$$ | $$\cos_p^2(t,t_0)+\sin_p^2(t,t_0)=e_{\mu p^2}(t,t_0),$$ | ||
| − | where $\cos_p$ denotes the [[Delta cosine|$\Delta\cos_p$]] function and $\sin_p$ denotes the [[Delta sine|$\Delta\sin_p$]] function. | + | where $\cos_p$ denotes the [[Delta cosine|$\Delta$-$\cos_p$]] function and $\sin_p$ denotes the [[Delta sine|$\Delta$-$\sin_p$]] function. |
| − | + | ||
| − | + | ==Proof== | |
| − | + | ||
| − | + | ==References== | |
| + | |||
| + | [[Category:Theorem]] | ||
| + | [[Category:Unproven]] | ||
Latest revision as of 21:28, 9 June 2016
Theorem
The following formula holds: $$\cos_p^2(t,t_0)+\sin_p^2(t,t_0)=e_{\mu p^2}(t,t_0),$$ where $\cos_p$ denotes the $\Delta$-$\cos_p$ function and $\sin_p$ denotes the $\Delta$-$\sin_p$ function.
