Consider the function f: R→ R defined by f(x) = cos(x), where n is an even integer. It can be shown that any positive power of cos a can be expressed as a sum of multiples of terms of the form cos(kx), where the k are non-negative integers. Note that the term where k = 0 is the constant term. It can also be shown that any odd positive power of sin a can be expressed as a sum of multiples of terms of the fa sin(kx), where the k are non-negative integers. (a) What is the constant term in the expansion of f(x) described above?

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