Difference between revisions of "Coversine"
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$$\mathrm{coversin}(z)=1-\sin(z),$$ | $$\mathrm{coversin}(z)=1-\sin(z),$$ | ||
where $\sin$ denotes the [[sine]] function. | where $\sin$ denotes the [[sine]] function. | ||
| + | |||
| + | <div align="center"> | ||
| + | <gallery> | ||
| + | File:Coversinplot.png|Plot of $\mathrm{coversin}$ on $[-10,10]$. | ||
| + | File:Complexcoversinplot.png|[[Domain coloring]] of $\mathrm{coversin}$. | ||
| + | File:Trig Functions Diagram.svg|Trig functions diagram using the unit circle. | ||
| + | </gallery> | ||
| + | </div> | ||
=Properties= | =Properties= | ||
=References= | =References= | ||
| − | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Versine|next=Haversine}}: 4.3.147 | + | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Versine|next=Haversine}}: $4.3.147$ |
[[Category:SpecialFunction]] | [[Category:SpecialFunction]] | ||
[[Category:Definition]] | [[Category:Definition]] | ||
Latest revision as of 04:27, 3 October 2016
The coversine function $\mathrm{coversin} \colon \mathbb{C} \rightarrow \mathbb{C}$ is defined by the formula $$\mathrm{coversin}(z)=1-\sin(z),$$ where $\sin$ denotes the sine function.
Plot of $\mathrm{coversin}$ on $[-10,10]$.
Domain coloring of $\mathrm{coversin}$.
Trig functions diagram using the unit circle.
Properties
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): $4.3.147$
