f is a periodic function if there is a T that: f(x+T)=f(x)
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Yes they are. Both have a a period of 2 pi
Linear function:No variable appears in the function to any power other than 1.A periodic input produces no new frequencies in the output.The function's first derivative is a number; second derivative is zero.The graph of the function is a straight line.Non-linear function:A variable appears in the function to a power other than 1.A periodic function at the input produces new frequencies in the output.The function's first derivative is a function; second derivative is not zero.The graph of the function is not a straight line.
Since cosh is based on the exponential function, it has the same period as the exponential function, namely, 2 pi i.Note: If you consider only the real numbers, the exponential function, as well as cosh, are NOT periodic.
No. Every periodic number is rational but pi is irrational.
periodic