Difference between revisions of "Coth"

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[[Relationship between coth, inverse Gudermannian, and csc]]<br />
 
[[Relationship between coth, inverse Gudermannian, and csc]]<br />
 
[[Pythagorean identity for coth and csch]]<br />
 
[[Pythagorean identity for coth and csch]]<br />
 +
[[Coth of a sum]]<br />
  
 
=Videos=
 
=Videos=

Revision as of 23:40, 21 October 2017

The hyperbolic cotangent is defined by $$\mathrm{coth}(z)=\dfrac{1}{\tanh(z)}=\dfrac{\mathrm{cosh}(z)}{\mathrm{sinh}(z)},$$ where $\tanh$ denotes the hyperbolic tangent function.

Properties

Derivative of coth
Antiderivative of coth
Relationship between coth and csch
Relationship between coth and cot
Relationship between cot and coth
Relationship between csc, Gudermannian, and coth
Relationship between coth, inverse Gudermannian, and csc
Pythagorean identity for coth and csch
Coth of a sum

Videos

Calculus I - Derivative of Hyperbolic Cotangent Function coth(x) - Proof

See Also

Arccoth

References

Hyperbolic trigonometric functions