Syntax
SINH(number)
| Parameter | Description |
|---|---|
| number | Parameter of the SINH function. |
Examples
SINH of 1
Formula
=SINH(1)
Returns ~1.1752. The hyperbolic sine of 1 is (e¹ - e⁻¹)/2 ≈ 1.1752.
Catenary calculation
Formula
=50*COSH(A1/50)
Models a catenary curve (hanging cable) with a 50-unit sag parameter. The cable's height at horizontal position A1 is given by this formula.
SINH of 0
Formula
=SINH(0)
Returns 0. Like regular sine, hyperbolic sine passes through the origin: SINH(0) = 0.
Common Errors
#VALUE!
Non-numeric input returns #VALUE!.
#NUM!
Very large arguments (e.g., SINH(710)) overflow and return #NUM!.
Tips
Not periodic
Unlike SIN, SINH is not periodic — it grows exponentially in both directions. SINH(x) ≈ EXP(x)/2 for large positive x.
Odd function
SINH(-x) = -SINH(x). It's symmetric about the origin, like regular sine.
Engineering applications
SINH appears in transmission line equations, heat transfer through fins, and special relativity. If a formula calls for it, use SINH directly.
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