If I am asked to graph the function of V = 3-0.05cos(200*phi*t) in a graphing calculator of one period, what should I set my window range to? Thanks
How about for 10*phi* sin(200phi*t)?
2006-10-27 08:18:27 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
V = 3 - 0.05cos(200*phi*t)
Now range of cos(Any angle) is -1 ≤ cos(Any angle) ≤ 1
Therefore 3 - 0.05x1 ≤ V ≤ 3 - 0.05x-1
ie 2.95 ≤ V ≤ 3.05 So this is the requred range for your graphing calculator
10*phi* sin(200phi*t)?
Well range sin (Any angle) is -1 ≤ sin(Any angle) ≤ 1
so 10*phi*-1 ≤ 10*phi* sin(200phi*t) ≤ 10*phi*1
ie -10*ph i≤ 10*phi* sin(200phi*t) ≤ 10*phi
The easiest way to do these is put in the maximum and minimum possible values of the trig functions and see what they do to the output.
2006-10-27 09:52:22 · answer #1 · answered by Wal C 6 · 0⤊ 0⤋
Both sines and cosines have a period of 2pi. So, when the argument goes from 0 to 2 pi it's one period
200*phi*t = 2pi, solve for t.
I'd prefer to go from - pi to +pi rather than 0 to 2pi, but suit yourself.
2006-10-27 15:31:00 · answer #2 · answered by modulo_function 7 · 0⤊ 0⤋
sine cosine function looks like a wave
2006-10-27 16:24:18 · answer #3 · answered by karun 2 · 0⤊ 0⤋