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Math function
COTH
Returns the hyperbolic cotangent of a number.
Rarely usedDifficulty 1350 · AdvancedUsage rank #317 of 520
When to use it
Hyperbolic cotangent: COSH/SINH.
The shape of it
- Syntax
=COTH(number)
Worked examples
One
=COTH(1) → 1.313035285
One.
Two
=COTH(2) → 1.037314721
Approaches 1 for large inputs.
Half
=COTH(0.5) → 2.163953414
Grows as the input shrinks.
Worth knowing
- Appears in the Langevin function and some heat-transfer formulas.
- ACOTH inverts it.
- COTH(x) = 1/TANH(x).
Where it goes wrong
- #DIV/0! at 0.
- Absolute values above 2^27 return #NUM!.
Related
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