Suppose you wish to fit a function of the form f (t) = c p sin t q cos t to a given continuous function g(t) on the closed interval from 0 to 2. One approach is to first choose n 1 equally spaced points ai, i = 0,1,...,n between 0 and 2 (ai = i2, say). We can then fit a n function fn(t) = cn pn sin t qn cos t to the data points (ai,g(ai)) for i = 0,...,n. An example of n = 8 is given in Figure 1