ASINH
Returns the inverse hyperbolic sine of a number. Defined for all real numbers.
ASINH(number)Arguments
numberAny real number.
=ASINH(0)ASINH of 0 is 0
=ASINH(2.5)Inverse hyperbolic sine of 2.5
- •ASINH is the inverse of SINH: ASINH(SINH(x)) = x
- •ASINH(x) = LN(x + SQRT(x² + 1))
- •Result is in radians
- •Assuming ASINH has a restricted domain like some other inverse functions - it's actually defined for every real number, including negative values and zero, unlike ACOSH or ATANH which have input restrictions
- •Confusing ASINH with ASIN - ASINH is the inverse hyperbolic sine (unrestricted domain), while ASIN is the regular inverse sine, valid only for inputs between -1 and 1
- •Expecting a result in degrees - ASINH's output is a dimensionless value, not an angle that would need a degrees/radians conversion the way ASIN's result does
SINHPerforms the inverse operation - calculates the hyperbolic sine of a number, undoing what ASINH calculates.ACOSHCalculates the inverse hyperbolic cosine, a related function but with a restricted domain of 1 and above, unlike ASINH's unrestricted domain.ASINCalculates the regular (non-hyperbolic) inverse sine, a different function despite the similar name, valid only between -1 and 1.Does ASINH work with negative numbers?
Yes, unlike some related inverse functions, ASINH is defined for every real number - positive, negative, or zero.
What's the difference between ASINH and ASIN?
They're unrelated despite the similar name - ASINH is the inverse hyperbolic sine, valid for all real numbers, while ASIN is the regular inverse sine, valid only for inputs between -1 and 1.
How can I calculate ASINH manually without the function?
ASINH(x) equals LN(x + SQRT(x^2 + 1)) - useful to know if you ever need to replicate the calculation in a system without a built-in ASINH function.
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