### If tanh(x) = 3/5, find the values of the other hyperbolic functions at x. A) coth(x) B) sech(x)...

In particular, if we know hyperbolic tangent, we can find all the other functions by leveraging the identity {eq}tanh^2 x + sech^2 x = 1 {/eq}. Given that {eq}tanh(x) = \frac{3}{5} {/eq}, we know that ...

### 123 TSQL functions

There are many conversions hexadecimal/octal/binary/Roman numerals, mathematical functions such as hyperbolic, logic and trigonometric. Combinatorial functions such as combinations, permutations (fact...

### Hyperbolic function - Wikipedia

Just as the points (cos t, sin t) form a circle with a unit radius, the points (cosh t, sinh t) form the right half of the equilateral hyperbola.The hyperbolic functions take a real argument called a hyperbolic angle.The size of a hyperbolic angle is twice the area of its hyperbolic sector.The hyperbolic functions may be defined in terms of the legs of a right triangle covering this sector.

### Hyperbolic Trigonomic Identities - Math2.org

Hyperbolic Definitions sinh(x) = ( e x - e-x)/2 . csch(x) = 1/sinh(x) = 2/( e x - e-x) . cosh(x) = ( e x + e-x)/2 . sech(x) = 1/cosh(x) = 2/( e x + e-x) . tanh(x ...

### Mathematics reference: Hyperbolic trigonometry identities

Various identities essential in hyperbolic trigonometry. Introduction. x and y are independent variables, ; e is the base of the natural logarithm.; d is the differential operator, int is the integral symbol,

### Hyperbolic function | Define Hyperbolic function at ...

Hyperbolic function definition, a function of an angle expressed as a relationship between the distances from a point on a hyperbola to the origin and to the coordinate axes, as hyperbolic sine or hyperbolic cosine: often expressed as combinations of exponential functions. See more.

### Complex Hyperbolic Functions - Suitcase of Dreams

Complex hyperbolic functions. Connection between complex hyperbolic and complex trigonometric functions. Complex analysis. Free tutorial and lessons. Mathematical articles, tutorial, examples. Mathematics, math research, mathematical modeling, mathematical programming, math articles, applied math.

### Tanh—Wolfram Language Documentation

Tanh[z] gives the hyperbolic tangent of z. Tanh is the hyperbolic tangent function, which is the hyperbolic analogue of the Tan circular function used throughout trigonometry. Tanh [α] is defined as the ratio of the corresponding hyperbolic sine and hyperbolic cosine functions via . Tanh may also be defined as , where is the base of the natural logarithm Log.

### Hyperbolic Cotangent -- from Wolfram MathWorld

The notation is sometimes also used (Gradshteyn and Ryzhik 2000, p. xxix). It is implemented in the Wolfram Language as Coth[z].. The hyperbolic cotangent satisfies the identity

### Inverse hyperbolic functions - Wikipedia

In mathematics, the inverse hyperbolic functions are the inverse functions of the hyperbolic functions.. For a given value of a hyperbolic function, the corresponding inverse hyperbolic function provides the corresponding hyperbolic angle.The size of the hyperbolic angle is equal to the area of the corresponding hyperbolic sector of the hyperbola xy = 1, or twice the area of the corresponding ...

### Table of Derivatives - Math2.org

Those with hyperlinks have proofs.

### Tangens hyperbolicus und Kotangens hyperbolicus – Wikipedia

Tangens hyperbolicus und Kotangens hyperbolicus sind Hyperbelfunktionen.Man nennt sie auch Hyperbeltangens oder hyperbolischen Tangens bzw. Hyperbelkotangens oder hyperbolischen Kotangens