Hyperbolic function
\(sinhx = [ e^x - e^{-x} ] / 2\) ,x∈R
\(coshx = [ e^x + e^{-x} ] / 2\) ,x∈R
\(tanhx = sinhx / coshx = [ e^x - e^{-x} ] / [ e^x + e^{-x} ]\) ,x∈R
Inverse hyperbolic function (inverse function of hyperbolic function)
\(arsinhx = ln[ x + √( x^2 + 1 ) ]\) ,x∈R
\(arcoshx = ln[ x + √( x^2 - 1 ) ]\) ,x∈[1,+∝)
\(artanhx = ln[ √( 1 - x^2 ) / ( 1 - x ) ] = (1/2) ln[ ( 1 + x ) / ( 1 - x ) ]\) ,x∈[-1,1)
Number: 5
Click "calculate" to output the result
Inverse hyperbolic tangent function: 1.000091
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