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MATH / Find the smallest positive integer n such that

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Find the smallest positive integer nn such that (cos84∘+isin84∘)n(\cos 84^\circ + i \sin 84^\circ)^nis a real number.
Plain-text mathematical notation (without MathML)
Find the smallest positive integer n such that
(cos84^(∘)+isin84^(∘))^(n)is a real number.
Original LaTeX notation
Find the smallest positive integer $n$ such that
\[(\cos 84^\circ + i \sin 84^\circ)^n\]is a real number.

level

Level 3

type

Precalculus

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Source and history

Official source

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