List questions from hyperbolic-functions

Published on 22 Dec 2016 - 14:18

2k

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Why is $\sinh(45°)$ not infinity? How does it ever intersect with the hyperbola, seeing as it goes along the asymptote?

Published on 22 Dec 2016 - 18:07

29.2k

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Deriving $\sin{ix}=i\sinh{x}$

Published on 31 Dec 2016 - 12:49

4.6k

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Deriving $\cosh^{-1}{x}=\ln\left(x+\sqrt{x^2-1}\right)$

Published on 31 Dec 2016 - 13:23

128

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Transport of structure, why is $\left(G=(-1,1),* : (x,y) \to \frac{x+y}{1+xy}\right )$ a group?

Published on 02 Jan 2017 - 8:52

93

Views

The $n$th derivative of the hyperbolic cotangent

Published on 26 Mar 2026 - 12:58

626

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Is it possible to write $\tan^{-1}(x)$ as a power series of $\tanh(x)$?

Published on 06 Jan 2017 - 6:35

89

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How to prove that this product of functions is bounded?

Published on 26 Mar 2026 - 9:17

73

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A sum of exponentials

Published on 07 Jan 2017 - 14:10

1.6k

Views

Hyperbolic substitution for $\int\frac{dx}{x\sqrt{1-x^2}}$

Published on 08 Jan 2017 - 3:37

135

Views

solve system of two trigonometric equations

Published on 16 Jan 2017 - 11:51

457

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Graphing solutions to the Schrodinger equation for a periodic potential

Published on 17 Jan 2017 - 1:12

1k

Views

Identity of an inverse hyperbolic function

Published on 18 Jan 2017 - 5:58

1.7k

Views

Why $\cosh(y)$ cannot be zero in this example?

Published on 18 Jan 2017 - 17:13

254

Views

trouble distinguishing between trigonometric functions and hyperbolic functions

Published on 19 Jan 2017 - 22:01

List Question

Hyperbolic cosine of a matrix

Why is $\sinh(45°)$ not infinity? How does it ever intersect with the hyperbola, seeing as it goes along the asymptote?

Deriving $\sin{ix}=i\sinh{x}$

Deriving $\cosh^{-1}{x}=\ln\left(x+\sqrt{x^2-1}\right)$

Transport of structure, why is $\left(G=(-1,1),* : (x,y) \to \frac{x+y}{1+xy}\right )$ a group?

The $n$th derivative of the hyperbolic cotangent

Is it possible to write $\tan^{-1}(x)$ as a power series of $\tanh(x)$?

How to prove that this product of functions is bounded?

A sum of exponentials

Hyperbolic substitution for $\int\frac{dx}{x\sqrt{1-x^2}}$

solve system of two trigonometric equations

Graphing solutions to the Schrodinger equation for a periodic potential

Identity of an inverse hyperbolic function

Why $\cosh(y)$ cannot be zero in this example?

trouble distinguishing between trigonometric functions and hyperbolic functions

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