Difference between revisions of "Cosine"
From specialfunctionswiki
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[[Beta in terms of sine and cosine]]<br /> | [[Beta in terms of sine and cosine]]<br /> | ||
[[Relationship between cosine and hypergeometric 0F1]]<br /> | [[Relationship between cosine and hypergeometric 0F1]]<br /> | ||
| − | [[Relationship between spherical Bessel y | + | [[Relationship between spherical Bessel y and cosine]]<br /> |
[[Relationship between cosh and cos]]<br /> | [[Relationship between cosh and cos]]<br /> | ||
[[Relationship between cos and cosh]]<br /> | [[Relationship between cos and cosh]]<br /> | ||
Revision as of 01:14, 18 July 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.
Graph of $\cos$ on $[-2\pi,2\pi]$.
Domain coloring of $\cos$.
Trig functions diagram using the unit circle.
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 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
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): 4.3.2
