# Trigonometry Cycles

**Geometry**Level 4

If \(A,B,C\) are angles of a triangle on a plane surface, then \(M,m\) be the maximum and minimum value of

\(\cos A \cos B \cos C - \displaystyle \sum_{cyc} (\cos A \sin B \sin C)\).

Find \(M-m\)

If \(A,B,C\) are angles of a triangle on a plane surface, then \(M,m\) be the maximum and minimum value of

\(\cos A \cos B \cos C - \displaystyle \sum_{cyc} (\cos A \sin B \sin C)\).

Find \(M-m\)

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