Inverse of Hyperbolic Functions

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Last updated 6:35 PM on 7/26/26
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6 Terms

1
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What is the inverse of sinh x ?

ln (x + √(x² + 1))

2
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What is the inverse of cosh x ?

ln (x + √(x² -1))

3
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What is the inverse of tanh x ?

½ ln (1 + x / 1-x )

4
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What is the inverse of coth x ?

½ ln (x + 1 / x-1 )

5
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What is the inverse of sech x ?

ln (1 + √(1-x²)
/
x)

6
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What is the inverse of csh x ?

ln (1/x + √(1/x² + 1))