Trigonometry Expert Q&A
An alternating current generator produces a current given by I= 10 sin (120pi t -pi/2) where t is time in seconds and I is in amperes.
(A) What are the amplitude, frequency, and phase shift for this current?
(B) Explain how you would find the maximum current in this circuit and find it.
(C) Graph the equation in a graphing calculator for . How many periods are shown in the graph?
(A) Graph both sides of the following equation in the same viewing window for x in [-pi, pi]. Is the equation an identity over the interval x in [-pi, pi]? Explain. (Recall that 3!, read “3 factorial”, is equal to 321 =6 and, similarly, 5! = 120 and 7! = 5040.)
(B) Extend the interval in part (A) to x in [-2pi, 2pi]. Now, does the equation appear to be an identity? What do you observe?