Difference between revisions of "Cotangent"
From specialfunctionswiki
| (3 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
| + | __NOTOC__ | ||
| + | |||
The cotangent function is defined by the formula | The cotangent function is defined by the formula | ||
$$\cot(z)=\dfrac{1}{\tan z} \equiv \dfrac{\cos(z)}{\sin(z)},$$ | $$\cot(z)=\dfrac{1}{\tan z} \equiv \dfrac{\cos(z)}{\sin(z)},$$ | ||
| Line 7: | Line 9: | ||
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> | ||
| Line 23: | Line 26: | ||
=References= | =References= | ||
| − | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev= | + | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Secant|next=findme}}: 4.3.6 |
| − | + | {{:Trigonometric functions footer}} | |
[[Category:SpecialFunction]] | [[Category:SpecialFunction]] | ||
Latest revision as of 03:38, 6 July 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): 4.3.6
