Difference between revisions of "Secant"

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The secant function is defined by
 
The secant function is defined by
$$\sec(z)=\dfrac{1}{\cos(z)}.$$
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$$\sec(z)=\dfrac{1}{\cos(z)},$$
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where $\cos$ denotes the [[cosine]].
  
 
<div align="center">
 
<div align="center">
 
<gallery>
 
<gallery>
File:Secant.png|Graph of $\sec$ on $\mathbb{R}$.
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File:Secantplot.png|Graph of $\sec$ over $[-2\pi,2\pi]$.
File:Complex Sec.jpg|[[Domain coloring]] of [[analytic continuation]] of $\sec$.
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File:Complexsecantplot.png|[[Domain coloring]] of $\sec$.
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File:Trig Functions Diagram.svg|Trig functions diagram using the unit circle.
 
</gallery>
 
</gallery>
 
</div>
 
</div>
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=Properties=
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[[Derivative of secant]]<br />
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[[Relationship between secant, Gudermannian, and cosh]]<br />
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[[Relationship between cosh, inverse Gudermannian, and sec]]<br />
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=See Also=
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[[Arcsec]] <br />
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[[Sech]] <br />
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[[Arcsech]] <br />
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=References=
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* {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Cosecant|next=Cotangent}}: 4.3.5
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{{:Trigonometric functions footer}}
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[[Category:SpecialFunction]]

Latest revision as of 20:45, 26 February 2017


The secant function is defined by $$\sec(z)=\dfrac{1}{\cos(z)},$$ where $\cos$ denotes the cosine.

Properties

Derivative of secant
Relationship between secant, Gudermannian, and cosh
Relationship between cosh, inverse Gudermannian, and sec

See Also

Arcsec
Sech
Arcsech

References

Trigonometric functions