I have found by trial that the period of a linear combination of sine and cosine functions is seemingly always at most $2\pi$. This is for functions in the form $\sin nx+\cos mx$ where the coefficient of x is an integer. Does this property hold for any combination of sines and cosines and what is the reason behind this?
2026-04-03 19:40:34.1775245234
Finding the period of a linear combination of sines and cosines
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