Difference between revisions of "Versine"
From specialfunctionswiki
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<gallery> | <gallery> | ||
| + | File:Versinplot.png|Plot of $\mathrm{versin}$ on $[-10,10]$. | ||
| + | File:Complexversinplot.png|[[Domain coloring]] of $\mathrm{versin}. | ||
File:Trig Functions Diagram.svg|Trig functions diagram using the unit circle. | File:Trig Functions Diagram.svg|Trig functions diagram using the unit circle. | ||
</gallery> | </gallery> | ||
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=References= | =References= | ||
| − | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Tangent|next=Coversine}}: 4.3.147 | + | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Tangent|next=Coversine}}: $4.3.147$ |
[[Category:SpecialFunction]] | [[Category:SpecialFunction]] | ||
[[Category:Definition]] | [[Category:Definition]] | ||
Revision as of 04:13, 4 October 2016
The versine function $\mathrm{versin} \colon \mathbb{C} \rightarrow \mathbb{C}$ is defined by the formula $$\mathrm{versin}(z)=1-\cos(z),$$ where $ \cos$ denotes the cosine function.
Plot of $\mathrm{versin}$ on $[-10,10]$.
Domain coloring of $\mathrm{versin}.
Trig functions diagram using the unit circle.
Properties
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): $4.3.147$
