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Math function
TANH
Returns the hyperbolic tangent of a number.
Rarely usedDifficulty 1300 · ProficientUsage rank #312 of 520
When to use it
Hyperbolic tangent: SINH/COSH. An S-shaped curve from -1 to 1, used as a smooth clamp and as an activation function.
The shape of it
- Syntax
=TANH(number)
Worked examples
Zero
=TANH(0) → 0
Zero.
One
=TANH(1) → 0.761594156
One.
Negative
=TANH(-0.5) → -0.462117157
Odd function.
Worth knowing
- Smoothly squash any score into -1 to 1: TANH(score/scale).
- ATANH inverts it.
- TANH(x) = (EXP(2x)-1)/(EXP(2x)+1).
Where it goes wrong
- Saturates: inputs beyond about 20 all return 1 exactly.
- Not an angle function.
Related
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