(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find all the roots of sin h(z) = 1/2

2. The attempt at a solution

sin h(z) = [1/2](e^z - e^-z) = 1/2

=> e^z -e^-z = 1

=> e^2z - e^z - 1 = 0 {multiplied e^z bothsides}

this is a quadratic equation in e^z using quadratic formula,

e^z = [1+- sqrt(5)]/2

taking 'ln' on bothsides

z = ln[{1+- sqrt(5)}/2]

And after this step I am confused, what to do next and how to find all the roots?

can someone help me out in this?

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# Roots of sin h(z) = 1/2

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