The real part of $\frac{(\sqrt{3} + i)^{2024}}{2^{2024}}$ is:
Step-by-Step Solution
Key Concept: Write $\sqrt{3} + i = 2e^{i\pi/6}$, so the expression $= e^{i\cdot 2024\pi/6}$. Find $2024 \pmod{12}$ to reduce the argument to a standard angle.
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Correct Answer: (3)