Difference between revisions of "Cosecant"
From specialfunctionswiki
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File:Cosecantplot.png|Graph of $\csc$ on $[-2\pi,2\pi]$. | File:Cosecantplot.png|Graph of $\csc$ on $[-2\pi,2\pi]$. | ||
File:Complexcosecantplot.png|[[Domain coloring]] of $\csc$. | File:Complexcosecantplot.png|[[Domain coloring]] of $\csc$. | ||
| + | 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 cosecant function is defined by $$\csc(z)=\dfrac{1}{\sin(z)},$$ where $\sin$ denotes the sine function.
Graph of $\csc$ on $[-2\pi,2\pi]$.
Domain coloring of $\csc$.
Trig functions diagram using the unit circle.
Properties
Derivative of cosecant
Relationship between csc, Gudermannian, and coth
Relationship between coth, inverse Gudermannian, and csc
See Also
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): 4.3.147
