Express the Indicated Roots of Unity in Standard Form a

question 62

Multiple Choice

Express the indicated roots of unity in standard form a + bi.
-Fifth roots of unity

• A)\(\begin{array}{l}
• 1+0 \mathrm{i} \\
• \cos \frac{\pi}{5}+\mathrm{i} \sin \frac{\pi}{5} \approx 0.81+0.59 \mathrm{i} \\
• \cos \frac{2 \pi}{5}+i \sin \frac{2 \pi}{5} \approx 0.31+0.95 \mathrm{i} \\
• \cos \frac{3 \pi}{5}+i \sin \frac{3 \pi}{5} \approx-0.31+0.95 \mathrm{i} \\
• \cos \frac{4 \pi}{5}+i \sin \frac{4 \pi}{5} \approx-0.81+0.59 \mathrm{i}
• \end{array}\)
• B) \(\begin{array}{l}
• 1+0 i \\
• \cos \frac{2 \pi}{5}+i \sin \frac{2 \pi}{5} \approx 0.31+0.95 \mathrm{i} \\
• \cos \frac{4 \pi}{5}+i \sin \frac{4 \pi}{5} \approx-0.81+0.59 i \\
• \cos \frac{6 \pi}{5}+i \sin \frac{6 \pi}{5} \approx-0.81-0.59 i \\
• \cos \frac{8 \pi}{5}+i \sin \frac{8 \pi}{5} \approx 0.31-0.95 \mathrm{i}
• \end{array}\)
• C) \(\begin{array}{l}
• \cos \frac{2 \pi}{5}+i \sin \frac{2 \pi}{5} \approx 0.31+0.95 \mathrm{i} \\
• \cos \frac{4 \pi}{5}+i \sin \frac{4 \pi}{5} \approx-0.81+0.59 \mathrm{i} \\
• \cos \frac{6 \pi}{5}+i \sin \frac{6 \pi}{5} \approx-0.81-0.59 \mathrm{i} \\
• \cos \frac{8 \pi}{5}+i \sin \frac{8 \pi}{5} \approx 0.31-0.95 \mathrm{i} \\
• \cos \frac{12 \pi}{5}+i \sin \frac{12 \pi}{5} \approx 0.31+0.95 \mathrm{i}
• \end{array}\)
• D) \(\begin{array}{l}
• 1+0 i \\
• \cos \frac{2 \pi}{5}+i \sin \frac{2 \pi}{5} \approx 0.31+0.95 i \\
• \cos \frac{4 \pi}{5}+i \sin \frac{4 \pi}{5} \approx-0.81+0.59 i \\
• \cos \frac{6 \pi}{5}+i \sin \frac{6 \pi}{5} \approx-0.81-0.59 i \\
• \cos \frac{8 \pi}{5}+i \sin \frac{8 \pi}{5} \approx 0.31-0.95 i
• \end{array}\)

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