# 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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