Difference between revisions of "Cosine"

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(Properties)
(Properties)
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=Properties=
 
=Properties=
[[Derivative of cosine]]
+
[[Derivative of cosine]]<br />
[[Taylor series of cosine]]
+
[[Taylor series of cosine]]<br />
[[Weierstrass factorization of cosine]]
+
[[Weierstrass factorization of cosine]]<br />
[[Beta in terms of sine and cosine]]
+
[[Beta in terms of sine and cosine]]<br />
[[Relationship between cosine and hypergeometric 0F1]]
+
[[Relationship between cosine and hypergeometric 0F1]]<br />
[[Relationship between spherical Bessel y sub nu and cosine]]
+
[[Relationship between spherical Bessel y sub nu and cosine]]<br />
[[Relationship between cosh and cos]]
+
[[Relationship between cosh and cos]]<br />
[[Relationship between cos and cosh]]
+
[[Relationship between cos and cosh]]<br />
[[Relationship between cosine, Gudermannian, and sech]]
+
[[Relationship between cosine, Gudermannian, and sech]]<br />
[[Relationship between sech, inverse Gudermannian, and cos]]
+
[[Relationship between sech, inverse Gudermannian, and cos]]<br />
  
 
=See Also=
 
=See Also=

Revision as of 00:43, 4 June 2016

The cosine function, $\cos \colon \mathbb{C} \rightarrow \mathbb{C}$ is defined by the formula $$\cos(z)=\dfrac{e^{iz}+e^{-iz}}{2},$$ where $e^z$ is the exponential function.

Properties

Derivative of cosine
Taylor series of cosine
Weierstrass factorization of cosine
Beta in terms of sine and cosine
Relationship between cosine and hypergeometric 0F1
Relationship between spherical Bessel y sub nu and cosine
Relationship between cosh and cos
Relationship between cos and cosh
Relationship between cosine, Gudermannian, and sech
Relationship between sech, inverse Gudermannian, and cos

See Also

Arccos
Cosh
Arccosh

<center>Trigonometric functions
</center>