Find the smallest positive integer $n$ such that
\[(\cos 84^\circ + i \sin 84^\circ)^n\]is a real number.
Question:
Find the smallest positive integer $n$ such that
\[(\cos 84^\circ + i \sin 84^\circ)^n\]is a real number.
Answer:
Let's think step by step.

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15
Find the smallest positive integer $n$ such that
\[(\cos 84^\circ + i \sin 84^\circ)^n\]is a real number.
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