Discussion
A function is said to be even if :
Answer: B
A function is even if \(f(t) = f(-t)\).
An even function is symmetrical about the vertical axis: its value at \(-t\) equals its value at \(t\), as for \(\cos t\) or \(t^{2}\). The Fourier series of an even periodic function contains only cosine terms and a constant.
\(f(t) = -f(-t)\) defines an odd function, such as \(\sin t\). \(f(t) = -f(t - T_{0}/2)\) is the condition for half-wave symmetry, under which only odd harmonics appear. \(f(t) = -f(t)\) holds only for the zero function.
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