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

question 295

Multiple Choice

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

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

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