Difference between revisions of "Cotangent"
From specialfunctionswiki
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File:Cotangentplot.png|Plot of cotangent function over $[-2\pi,2\pi]$. | File:Cotangentplot.png|Plot of cotangent function over $[-2\pi,2\pi]$. | ||
File:Complexcotangentplot.png|[[Domain coloring]] of $\cot$. | File:Complexcotangentplot.png|[[Domain coloring]] of $\cot$. | ||
| + | File:Trig Functions Diagram.svg|Trig functions diagram using the unit circle. | ||
</gallery> | </gallery> | ||
</div> | </div> | ||
Revision as of 06:15, 6 June 2016
The cotangent function is defined by the formula $$\cot(z)=\dfrac{1}{\tan z} \equiv \dfrac{\cos(z)}{\sin(z)},$$ where $\tan$ denotes the tangent function.
Plot of cotangent function over $[-2\pi,2\pi]$.
Domain coloring of $\cot$.
Trig functions diagram using the unit circle.
Properties
Derivative of cotangent
Relationship between cot and coth
Relationship between coth and cot
Relationship between cot, Gudermannian, and csch
Relationship between csch, inverse Gudermannian, and cot
See Also
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): 4.3.147
