Multiple Choice Which of the following is the standard form for the product of (A) 2 (B)

Chapter 6, Problem 6.1.1.479

(choose chapter or problem)

In Exercises 67–70, do not use technology to solve the problem.

Multiple Choice Which of the following is the standard form of the product of \(\sqrt{2}\left(\cos \frac{\pi}{4}+i \sin \frac{\pi}{4}\right) \text { and } \sqrt{2}\left(\cos \frac{7 \pi}{4}+i \sin \frac{7 \pi}{4}\right)\)?

\(\begin{array}{l}\text{(A) 2}\\\text{(B) } -2\\\text{(C) } -2 i\\\text{(D) } -1+i\\\text{(E) } 1-i\end{array}\)

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