Dingane has been observing a certain stock for the last few years and he sees that it can be modeled as a function s(t)s, left parenthesis, t, right parenthesis of time t (in days) using a sinusoidal expression of the form a\cdot\sin(b\cdot t) da⋅sin(b⋅t) da, dot, sine, left parenthesis, b, dot, t, right parenthesis, plus, d. on day t=0t, equals, 0, the stock is at its average value of {\$}$3.47dollar sign, but 91.25 days later, its value is down to its minimum of \$1.97dollar sign. Find S(t) left parenthesis, t, right parenthesis. \textit{t}tstart text, t, end text should be in radians.
