Question 609465: GRAPH ATLEAST TWO PERIODS and NAME PHASE SHIFT.
y=3csc(1/4x)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! GRAPH ATLEAST TWO PERIODS and NAME PHASE SHIFT.
y=3csc(1/4x)
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Equation for csc function: y=Acsc(Bx-C), A=multiplier, period=2π/B, Phase shift=C/B
For given trig function: y=3csc(x/4)
B=1/4
Period=2π/(1/4)=8π
1/4 period=2π
C=0
Phase shift: none
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Graphing for two periods:
I don't have the means for drawing a graph, but I will provide the coordinates with which you can draw the graph. Scale of x-axis in radians. Asymptotes at x=0, 4π, 8π, 12π and 16π. ud=undefined
(0,ud), (2π,3), (4π,ud), (6π,-3), (8π,ud), (10π,3), (12π,ud), (14π,-3), (16π,ud)
Note: csc curve sits on top of and below the sin curve with the same period and amplitude of 3.
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