t h e p er i o d o f cos x i s 2 π t h e p er i o d o f 3 cos x i s 2 π t h e p er i o d o f 3 cos 5 x i s 5 ⋅ 2 π = 10 π
The period of the function 5 3 c o s x is 2 π because the period of the cosine function does not change with the amplitude. Thus, the period remains the same as that of the standard cosine function, which is 2 π .
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