Yes. Along with the tangent function, sine is an odd function. Cosine, however, is an even function.
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Yes. It is one of the trigonometric functions called ODD functions, wherein: f(-x) = - f(x) On the other hand, for EVEN functions, like the cosine function: f(-x) = f(x)
A sine wave is a periodic function and, by suitably adjusting the argument of the sine function, can be made to fit a wide functions with different frequencies.
It is to convert a function into a sum of sine (or cosine) functions so as to simplify its analysis.