Hyperbolic Functions Cheat Sheet

A Hyperbolic Functions Cheat Sheet is a reference document that provides formulas, identities, and properties of hyperbolic functions such as sinh, cosh, tanh, etc. It helps users quickly find and use these functions in mathematical calculations.

FAQ

Q: What are hyperbolic functions?A: Hyperbolic functions are analogues of trigonometric functions for hyperbolas.

Q: What are the main hyperbolic functions?A: The main hyperbolic functions are sinh, cosh, and tanh.

Q: What is sinh?A: sinh is the hyperbolic sine function.

Q: What is cosh?A: cosh is the hyperbolic cosine function.

Q: What is tanh?A: tanh is the hyperbolic tangent function.

Q: What is the relationship between hyperbolic functions and trigonometric functions?A: Hyperbolic functions are related to trigonometric functions through the Euler's formula.

Q: What are the properties of hyperbolic functions?A: Some properties of hyperbolic functions are: they are odd or even, they are periodic, and they have identities similar to those of trigonometric functions.

Q: What are some common identities of hyperbolic functions?A: Common identities of hyperbolic functions include sinh^2(x) - cosh^2(x) = 1 and tanh(x) = sinh(x) / cosh(x).

Q: What are the inverse hyperbolic functions?A: The inverse hyperbolic functions are arcsinh, arccosh, and arctanh.

Q: What are the domains and ranges of hyperbolic functions?A: The domain of hyperbolic functions is the set of all real numbers, and the range depends on the specific hyperbolic function.