Question 624191: What is the graph of one cycle of a sine curve with the given characteristics?
y = sin 3q
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! What is the graph of one cycle of a sine curve with the given characteristics?
y = sin 3q
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equation for sin function: y=Asin(Bx-C), A=amplitude, Period=2π/B, C/B=phase shift
using x in place of q (x easier to type)
For given sin function: y=sin3x
Amplitude=1
B=3
Period=2π/B=2π/3
1/4 period=π/6
Phase shift: none
..
Graph for one cycle or period:
(x,y) coordinates for one period: (0,0), (π/6,1), (π/3,0), (π/2,-1), (2π/3,0)
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