Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, …

In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just as the points (cos t, sin t) form a circle …

cosh 2 (x) - sinh 2 (x) = 1 tanh 2 (x) + sech 2 (x) = 1 coth 2 (x) - csch 2 (x) = 1 Inverse Hyperbolic Defintions. arcsinh(z) = ln( z + (z 2 + 1) ) arccosh(z) = ln( z (z 2 - 1) ) arctanh(z) = 1/2 ln( …

Hyperbolic Functions - sinh, cosh, tanh, coth, sech, csch Definition of hyperbolic functions. Hyperbolic sine of x $\text{sinh}\ x = \frac{e^{x} - e^{-x}}{2}$ Hyperbolic cosine of x …

The two basic hyperbolic functions are "sinh" and "cosh": Hyperbolic Sine: sinh(x) = e x − e-x 2 (pronounced "shine") Hyperbolic Cosine: cosh(x) = e x + e-x 2 (pronounced "cosh") They use …

Use the definition of cosh: cosh(0) = (exp(0) + exp(-0))/2 = 2 / 2 = 1. Use the identity cosh 2 x − sinh 2 x = 1 along with the fact that sinh is an odd function, which implies sinh(0) = 0. Read the …

What is the integral of cosh^2(x) ? The integral of cosh^2(x) is 1/2 (x+1/2 sinh(2x))+C

What is the value of cosh (2) ?

Learn Hyperbolic Trig Identities and other Trigonometric Identities, Trigonometric functions, and much more for free. Download Hyperbolic Trig Worksheets.

Jul 28, 2023 · One of the fundamental hyperbolic trig identities is the hyperbolic Pythagorean identity: cosh^2(x) - sinh^2(x) = 1. This identity bears resemblance to the Pythagorean identity …