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

Find all the values of Z which satisfy the equation, Z being a complex number in the form x+i*y.

2. Relevant equations

Every trig identity out there.

3. The attempt at a solution

Here's what I got so far:

Cosh(z) = i*Cos(3)

Cosh(x)*Cos(y)+i*(Sinh(x)*Sin(y)) = i*Cos(3)

Therefore,

Cosh(x)*Cos(y) = 0

Sinh(x)*Sin(y) = i*Cos(3)

y = Pi/2 (since there's no value of x which can give Cosh(x) = 0). y may also be Pi/2 + 2nPi, where n is an integer.

Therefore,

Sinh(x) = i*Cos(3)

But I don't know how to proceed from there.

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# Homework Help: Help me solve this equation.

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