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If f(x)=y, then the inverse function solves for y when x=f(y). You may have to restrict the domain for the inverse function to be a function. Use this concept when finding the inverse of hyperbolic functions.

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Q: What are the inverses of hyperbolic functions?
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Related questions

What is an inverse hyperbolic function?

The inverses of hyperbolic function are the area hyperbolic functions. They are called area functions becasue they compute the area of a sector of the unit hyperbola x2 − y2 = 1 This is similar to the inverse trig functions which correspond to arclength of a sector on the unit circle


What is true about functions and their inverses?

They are bijections.


What is the use of hyperbolic functions?

Hyperbolic functions can be used to describe the position that heavy cable assumes when strung between two supports.


What are trigonometric functions in mathematics?

The basic ones are: sine, cosine, tangent, cosecant, secant, cotangent; Less common ones are: arcsine, arccosine, arctangent, arccosecant, arcsecant, arccotangent; hyperbolic sine, hyperbolic cosine, hyperbolic tangent, hyperbolic cosecant, hyperbolic secant, hyperbolic cotangent; hyperbolic arcsine, hyperbolic arccosine, hyperbolic arctangent, hyperbolic arccosecant, hyperbolic arcsecant, hyperbolic arccotangent.


How are exponential and logarithmic functions related?

They are inverses of each other.


What is the relationship between exponential and logarithmic functions?

Exponential and logarithmic functions are inverses of each other.


What is an inverse function in mathematics?

Inverse functions are two functions that "undo" each other. Formally stated, f(x) and g(x) are inverses if f(g(x)) = x. Multiplication and division are examples of two functions that are inverses of each other.


What is an arcsine?

An arcsine is any of the single- or multivalued functions which are inverses of the sine function.


How are the graphs of linear functions and their inverses related?

They are reflected in the line of y=x


What are the types of trigonometric functions?

There are three types of trigonometric functions, they are: 1- Plane Trigonometric Functions 2- Inverse Trigonometric Functions and 3- Hyperbolic Trigonometric Functions


What is hyperbolic functions?

The hyperbolic functions are related to a hyperbola is the same way the the circular functions are related to a circle. So, while the points with coordinates [cos(t), sin(t)] generate the unit circle, their hyperbolic counterparts, [cosh(t) , sinh(t)] generate the right half of the equilateral hyperbola. Other circular functions (tan, sec, cosec and cot) also have their hyperbolic counterparts, as do the inverse functions. An alternative, equivalent pair of definitions is: cosh(x) = (ex + e-x)/2 and sinh(x) = (ex - e-x)/2


How would you explain logarithmic converter?

Logarithmic functions are converted to become exponential functions because both are inverses of one another.