xsin(x)cos(x)

Odd or even?
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1 Answer

f(x)=xsin(x)cos(x); f(-x)=-xsin(-x)cos(-x);

sin(-x)=-sin(x); cos(-x)=cos(x), so f(-x)=xsin(x)cos(x)=f(x), which is the definition of an even function.

by Top Rated User (1.2m points)

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