1. The problem statement, all variables and given/known data Find the real/imaginary parts of sinh(x+yi) and its abs value. 2. Relevant equations 3. The attempt at a solution I am able to decompose sinh(x+yi) = cosy*sinh(x) + isin(y)cosh(x) - (which is correct according to my book) Now finding the absolute value is kind of causing some problems. If I'm not mistaken |z| = sqrt(x^2+y^2) = sqrt(z * conj(z) ) So I'm treating cosy*sinh(x) + isin(y)cosh(x) as a complex number. So I multiply ( cosy*sinh(x) + isin(y)cosh(x) ) * ( cosy*sinh(x) - isin(y)cosh(x) ) and I get sqrt( cosy^2*sinhx^2 + siny^2*coshx^2 ) so I would think sqrt( sinhx^2 + coshx^2 ) is the answer. However, it's supposed to be sqrt( sinhx^2 + siny^2) Does anyone know what I did wrong?