Webcosh (x) = ex + e−x 2 (pronounced "cosh") They use the natural exponential function ex And are not the same as sin (x) and cos (x), but a little bit similar: sinh vs sin cosh vs cos Catenary One of the interesting uses of …

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WebCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ... csch(x) = 1/sinh(x) = 2/( ex - e-x) cosh(x) = ( ex + e-x)/2 sech(x) = 1/cosh(x) = 2/( ex + e-x) tanh(x) = sinh(x)/cosh(x) = ( ex - e-x )/( ex + e-x) coth(x) = 1/tanh(x) = ( ex + e-x)/( ex - e-x) cosh2(x) - sinh2(x) = 1 tanh2(x) + sech2(x) = … See more arcsinh(z) = ln( z + (z2+ 1) ) arccosh(z) = ln( z (z2- 1) ) arctanh(z) = 1/2 ln( (1+z)/(1-z) ) arccsch(z) = ln( (1+(1+z2) )/z ) arcsech(z) = ln( (1(1-z2) )/z ) arccoth(z) = 1/2 ln( (z+1)/(z-1) ) See more sinh(z) = -i sin(iz) csch(z) = i csc(iz) cosh(z) = cos(iz) sech(z) = sec(iz) tanh(z) = -i tan(iz) coth(z) = i cot(iz) See more nordwest shop

How to express an exponential in terms of sinh x and cosh x?

Web3 The inverse of cosh As a function on the real line cosh does not have an inverse (note that cosh(x) =cosh(¡x) so that two difierent points in x correspond to the same value of cosh).However if we restrict the domain to [0;1) then cosh is strictly increasing and invertible. The range of cosh is [1;1) so that we have cosh : [0;1)! [1;1) cosh¡1: [1;1)! [0;1) http://mathcentre.ac.uk/resources/workbooks/mathcentre/hyperbolicfunctions.pdf WebInverse hyperbolic functions. If x = sinh y, then y = sinh-1 a is called the inverse hyperbolic sine of x. Similarly we define the other inverse hyperbolic functions. The inverse hyperbolic functions are multiple-valued and as in the case of inverse trigonometric functions we restrict ourselves to principal values for which they can be considered as single-valued. nordwestpassage film youtube