Trigonometry! #36

Geometry Level 4

Suppose sin3xsin3x=m=0ncmcosmxsin^{3} x \sin 3x = \displaystyle \sum_{m=0}^{n} c_{m} \cos mx is an identity in xx where c0,c1,...,cnc_{0} , c_{1} , ... , c_{n} are constants, and cn0c_{n}≠0. Then find the value of n.

This problem is part of the set Trigonometry.

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