Express the Indicated Roots of Unity in Standard Form a $1+0 \mathrm{i}$

question 2

Multiple Choice

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

• A) \( 1+0 \mathrm{i} \)
• \[
• \begin{array}{l}
• \cos \frac{\pi}{3}+i \sin \frac{\pi}{3}=0.5+\frac{\sqrt{3}}{2} i \\
• \cos \frac{2 \pi}{3}+i \sin \frac{2 \pi}{3}=-0.5+\frac{\sqrt{3}}{2} \mathrm{i}
• \end{array}
• \]
• B) \( 1+0 \mathrm{i} \)
• \[
• \begin{array}{l}
• \cos \frac{2 \pi}{3}+i \sin \frac{2 \pi}{3}=-0.5+\frac{\sqrt{3}}{2} i \\
• \cos \frac{4 \pi}{3}+i \sin \frac{4 \pi}{3}=-0.5-\frac{\sqrt{3}}{2} i
• \end{array}
• \]
• C) \( 1+i \)
• \[
• \begin{array}{l}
• \cos \frac{2 \pi}{3}+i \sin \frac{2 \pi}{3}=-0.5+\frac{\sqrt{3}}{2} i \\
• \cos \frac{4 \pi}{3}+i \sin \frac{4 \pi}{3}=-0.5-\frac{\sqrt{3}}{2} i
• \end{array}
• \]
• \(\begin{array}{l}
• \text { D) } \cos \frac{\pi}{3}+i \sin \frac{\pi}{3}=0.5+\frac{\sqrt{3}}{2} i \\
• \cos \frac{2 \pi}{3}+i \sin \frac{2 \pi}{3}=-0.5+\frac{\sqrt{3}}{2} i \\
• \cos \frac{4 \pi}{3}+i \sin \frac{4 \pi}{3}=-0.5-\frac{\sqrt{3}}{2} i
• \end{array}\)

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