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 with a unit radius, the points (cosh t, sinh t) form the right half of the unit hyperbola.

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d dx tanh (x) = 1 − tanh 2 (x) Math explained in easy language, plus puzzles, games, quizzes, worksheets and a forum. For K-12 kids, teachers and parents.

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$\text{tanh} (x + k\pi i) = \text{tanh}\ x$ $\text{coth} (x + k\pi i) =\text{coth} x$ Relationship between inverse hyperbolic and inverse trigonometric functions sin -1 (ix) = isinh -1 x

Y = tanh(X) returns the hyperbolic tangent of the elements of X. The tanh function operates element-wise on arrays. The function accepts both real and complex inputs.

In this short lesson, you will learn about Tanh hyperbolic function and its properties including tanh function, tanh calculator, tanh formula, and tanh equation. You can see the graphical representation of the Tanh function in the image below.

To use our hyperbolic tangent calculator, you only need to fill in the field x, and the value of tanh(x) will appear immediately. It couldn't be any easier, really. If you want to find the inverse of tanh, that is, the arc hyperbolic tangent, you need to use the calc in reverse.

TANH (x) returns the hyperbolic tangent of the angle x. The argument x must be expressed in radians. To convert degrees to radians you use the RADIANS function.

tanh(x) = (e x − e −x) / (e x + e −x) tanh(x) = sinh(x) / cosh(x) Pronounced "than".