SOLUTION: Please explain the steps to Graph the function over a two period interval: y = 3sin(x-((3pi)/2)

Algebra ->  Trigonometry-basics -> SOLUTION: Please explain the steps to Graph the function over a two period interval: y = 3sin(x-((3pi)/2)      Log On


   



Question 868187: Please explain the steps to Graph the function over a two period interval:
y = 3sin(x-((3pi)/2)

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First find the period.
P=2pi%2F1=2pi
So two periods would be 4pi
Break up the 4pi into equally spaced points.
dx=pi%2F16
Start at x=0 and step by dx until you reach x=4pi
Calculate y=3sin%28x-%283%2F2%29pi%29%29 at each point.
0.00 3.00
0.20 2.94
0.39 2.77
0.59 2.49
0.79 2.12
0.98 1.67
1.18 1.15
1.37 0.59
1.57 0.00
1.77 -0.59
1.96 -1.15
2.16 -1.67
2.36 -2.12
2.55 -2.49
2.75 -2.77
2.95 -2.94
3.14 -3.00
3.34 -2.94
3.53 -2.77
3.73 -2.49
3.93 -2.12
4.12 -1.67
4.32 -1.15
4.52 -0.59
4.71 0.00
4.91 0.59
5.11 1.15
5.30 1.67
5.50 2.12
5.69 2.49
5.89 2.77
6.09 2.94
6.28 3.00
6.48 2.94
6.68 2.77
6.87 2.49
7.07 2.12
7.26 1.67
7.46 1.15
7.66 0.59
7.85 0.00
8.05 -0.59
8.25 -1.15
8.44 -1.67
8.64 -2.12
8.84 -2.49
9.03 -2.77
9.23 -2.94
9.42 -3.00
9.62 -2.94
9.82 -2.77
10.01 -2.49
10.21 -2.12
10.41 -1.67
10.60 -1.15
10.80 -0.59
11.00 0.00
11.19 0.59
11.39 1.15
11.58 1.67
11.78 2.12
11.98 2.49
12.17 2.77
12.37 2.94
12.57 3.00
Then plot those points.