Difference between revisions of "Versine"

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<gallery>
 
<gallery>
 
File:Versinplot.png|Plot of $\mathrm{versin}$ on $[-10,10]$.
 
File:Versinplot.png|Plot of $\mathrm{versin}$ on $[-10,10]$.
File:Complexversinplot.png|[[Domain coloring]] of $\mathrm{versin}.
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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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=Properties=
 
=Properties=
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[[Derivative of versine]]<br />
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[[Antiderivative of versine]]<br />
  
 
=References=
 
=References=
* {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Tangent|next=Coversine}}: $4.3.147$
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* {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=findme|next=Coversine}}: $4.3.147$
  
 
[[Category:SpecialFunction]]
 
[[Category:SpecialFunction]]
 
[[Category:Definition]]
 
[[Category:Definition]]

Latest revision as of 02:33, 5 January 2017

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.

Properties

Derivative of versine
Antiderivative of versine

References