Difference between revisions of "Gudermannian"
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[[Taylor series for Gudermannian]]<br /> | [[Taylor series for Gudermannian]]<br /> | ||
[[Relationship between sine, Gudermannian, and tanh]]<br /> | [[Relationship between sine, Gudermannian, and tanh]]<br /> | ||
Revision as of 05:58, 6 June 2016
The Gudermannian $\mathrm{gd}$ is defined for $x \in \mathbb{R}$ by the formula $$\mathrm{gd}(x) = \displaystyle\int_0^x \dfrac{1}{\cosh t} \mathrm{d}t$$
Graph of $\mathrm{gd}$.
Domain coloring of $\mathrm{gd}$.
Properties
Derivative of Gudermannian
Taylor series for Gudermannian
Relationship between sine, Gudermannian, and tanh
Relationship between cosine, Gudermannian, and sech
Relationship between tangent, Gudermannian, and sinh
Relationship between csc, Gudermannian, and coth
Relationship between secant, Gudermannian, and cosh
Relationship between cot, Gudermannian, and csch
