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Yes. Along with the tangent function, sine is an odd function. Cosine, however, is an even function.
Yes f(x)=0 is both even and odd
It is an odd function. Even functions use the y-axis like a mirror, and odd functions have half-circle rotational symmetry.
yes
If you know that a function is even (or odd), it may simplify the analysis of the function, for several purposes. One example is the calculation of definite integrals: for an odd function, the integral of a function from (-x) to (x) (note 1) is zero; for an even function, this integral is twice the integral of the function from (0) to (x). Note 1: That is, the area under the function; for negative values, this "area" is taken as negative) is