The following applet generates random sinusoidal waves when you click the "Generate New Wave" button.[br][br]Your job is to find one set of values of the parameters (a, b, c, & d) so that the graph of the function [b][color=#1551b5]y = a sin(bx - c) + d[/color][/b] matches the black graph displayed. [br]Then, your job is to find one set of values of the parameters (a, b, c, & d) so that the graph of the function [b][color=#c51414]y = a cos(bx - c) + d[/color][/b] matches the black graph displayed. [br][br][b]Remember! There are infinitely many parameterizations (possible sets of values for a, b, c, d) of this function (due to its periodic nature!!!) [/b][br][i]One more thing: To type in the pi-symbol, simply type "pi". For example, to type in 2*pi/15, simply type "2pi/15"[/i].

Questions:[br][br]1) Of the parameters a, b, c, & d, which one(s) [b]NEVER CHANGE[/b] (regardless of which model you use?) Explain.[br]2) Of the parameters a, b, c, & d, which one(s) CAN CHANGE? Why can these parameters differ? Explain.