Math Question
![Question 4 of 10
Use De Moivre's theorem to write the complex number in trigonometric form.
\[
\left(\cos \frac{\pi}{4}+i \sin \frac{\pi}{4}\right)^{3}
\]
A. \( 3\left(\cos \frac{\pi}{12}+i \sin \frac{\pi}{12}\right) \)
B. \( \left(\cos \frac{\pi^{3}}{64}+i \sin \frac{\pi^{3}}{64}\right) \)
C. \( 3\left(\cos \frac{3 \pi}{4}+i \sin \frac{3 \pi}{4}\right) \)
D. \( \left(\cos \frac{3 \pi}{4}+i \sin \frac{3 \pi}{4}\right) \)](https://d3hlidq5bf9vg0.cloudfront.net/app-server-student/2022/3/24/bf1d9c29-c469-425b-8be7-694fd8ea3d10.png "Question 4 of 10
Use De Moivre's theorem to write the complex number in trigonometric form.
\[
\left(\cos \frac{\pi}{4}+i \sin \frac{\pi}{4}\right)^{3}
\]
A. \( 3\left(\cos \frac{\pi}{12}+i \sin \frac{\pi}{12}\right) \)
B. \( \left(\cos \frac{\pi^{3}}{64}+i \sin \frac{\pi^{3}}{64}\right) \)
C. \( 3\left(\cos \frac{3 \pi}{4}+i \sin \frac{3 \pi}{4}\right) \)
D. \( \left(\cos \frac{3 \pi}{4}+i \sin \frac{3 \pi}{4}\right) \)")
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