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?

Consider the following graph, showing work only (no other identities) for amplitude, period, phase shift, and mid-line, state the exact rule of the function:    (a) in the form f(x) = A sin(Bx − C) + D (b) in the form f(x) = A cos(Bx − C) + D

the pole of (cos(x)-1)/x is...