Mathematics

Problem

In Exercises 45-48, use De Moivre's Theorem to find the indicated power of the complex number. Write your answer in (a) trigonometric form and (b) standard form. 45.

\left[3\left(\cos \frac{\pi}{4}+i \sin \frac{\pi}{4}\right)\right]^{5}

(a) trigonometric form (b) standard form

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