Imaginary Unit

Algebra Level pending

\(\sqrt{i}\) in polar form can be written as \(r(\cos \theta + i \sin \theta) \), where \(r\) is a real number and \(0 \leq \theta \leq \frac{\pi}{2}\). What is the measure of \(\theta\) (in degrees)?

Details and assumptions

\(i \) is the imaginary unit, where \(i^2=-1\).

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