What is cosh(ln(x))?
1 Answer
Nov 7, 2015
cosh(ln(x)) = (x^2+1)/(2x)
Explanation:
cosh(z) = (e^z+e^-z)/2
So:
cosh(ln(x)) = (e^(ln(x))+e^(-ln(x)))/2 = (x+1/x)/2 = (x^2+1)/(2x)
cosh(ln(x)) = (x^2+1)/(2x)
cosh(z) = (e^z+e^-z)/2
So:
cosh(ln(x)) = (e^(ln(x))+e^(-ln(x)))/2 = (x+1/x)/2 = (x^2+1)/(2x)