# Think De Moivre

Geometry Level 2

Let $a$ and $b$ be positive integers such that $\dfrac1{\cos(80^\circ) + i \sin(80^\circ) }$ can be written in the form of $\cos(a) - i \sin(b)$, where $a$ and $b$ are minimized, calculate $a - b$.

Note: Angles are measured in degrees.

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