Difference between revisions of "Sum of squares of delta cosine and delta sine"
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<strong>[[Sum of squares of delta cosine and delta sine|Proposition]]:</strong> The following formula holds: | <strong>[[Sum of squares of delta cosine and delta sine|Proposition]]:</strong> 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. |
<div class="mw-collapsible-content"> | <div class="mw-collapsible-content"> | ||
<strong>Proof:</strong> █ | <strong>Proof:</strong> █ | ||
</div> | </div> | ||
</div> | </div> | ||
Revision as of 18:01, 21 March 2015
Proposition: 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.
Proof: █
