Difference between revisions of "Cosine"
From specialfunctionswiki
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File:Cosineplot.png|Graph of $\cos$ on $[-2\pi,2\pi]$. | File:Cosineplot.png|Graph of $\cos$ on $[-2\pi,2\pi]$. | ||
File:Complexcosineplot.png|[[Domain coloring]] of $\cos$. | File:Complexcosineplot.png|[[Domain coloring]] of $\cos$. | ||
| + | File:Trig Functions Diagram.svg|Trig functions diagram using the unit circle. | ||
</gallery> | </gallery> | ||
</div> | </div> | ||
Revision as of 06:14, 6 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.
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 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
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): 4.3.147
