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Hyperbolic Tangent (tanh) Calculator

Hyperbolic Tangent (tanh) Calculator

Calculated tanh() of the number

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tanh() function

The hyperbolic tangent is the ratio of hyperbolic sine to hyperbolic cosine: tanh(x) = sinh(x) / cosh(x). Its output is always between −1 and 1, which makes it a common activation function in neural networks.

This is a free online tanh calculator — enter a value above and the tanh() result updates automatically.

tanh of x equals sinh of x over cosh of x

Important Abbreviations to Remember

  • SOH: Opposite / Hypotenuse (Sine)
  • CAH: Adjacent / Hypotenuse (Cosine)
  • TOA: Opposite / Adjacent (Tangent)

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Understanding the Main Trigonometric Functions

The trigonometric functions — also called circular or goniometric functions — are functions of an angle that relate the angles of a right triangle to the lengths of its sides. They're central to the study of triangles and to modeling periodic phenomena (waves, oscillations, rotation), among many other applications in physics, engineering and geometry.

Every value below is computed from a triangle inscribed in the unit circle — sine and cosine are the vertical and horizontal legs of that triangle, and the other four functions (tangent, secant, cosecant, cotangent) are ratios built from them. Drag the point around the circle to see how each ratio changes with the angle. A handful of angles (0°, 90°, 180°, 270°, 360°) make one of those ratios divide by zero — those are undefined rather than a nonsensical number.

Other Trigonometric Calculators

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