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

Let tan(q) with q ε ℂ be defined as the natural extension of tan(x) for real values

Find all the values in the complex plane for which |tan(q)| = ∞

2. Relevant equations

Expressing tan(q) as complex exponentials:

(e^iq - e^(-iq))/i(e^iq + e^(-iq))

3. The attempt at a solution

I really have no idea how to get around this problem. No matter what I equate 'q' to I don't seem to get a valid answer. Any help would be greatly appreciated.

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# Homework Help: Complex Algebra: Trigonometry (tan)

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