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

I've never understood [tex]e^{i\theta}[/tex] very well. I know that [tex]e^{i\theta} = cos \theta + i sin \theta[/tex], but how about [tex]e^{4i}[/tex]? Would this be [tex]cos 1 + 4i sin 1[/tex] or [tex]cos 4 + i sin 4[/tex]? What's the general rule for these kinds of numbers?

2. Relevant equations

[tex]e^{i\theta} = cos \theta + i sin \theta[/tex]

[tex]e^{i\pi} + 1 = 0[/tex]

3. The attempt at a solution

None, really. Just wondering how to evaluate numbers like above.

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# Exponential complex numbers

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