document.write( "Question 609465: GRAPH ATLEAST TWO PERIODS and NAME PHASE SHIFT.
\n" ); document.write( "y=3csc(1/4x)
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Algebra.Com's Answer #383903 by lwsshak3(11628)\"\" \"About 
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GRAPH ATLEAST TWO PERIODS and NAME PHASE SHIFT.
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\n" ); document.write( "Equation for csc function: y=Acsc(Bx-C), A=multiplier, period=2π/B, Phase shift=C/B
\n" ); document.write( "For given trig function: y=3csc(x/4)
\n" ); document.write( "B=1/4
\n" ); document.write( "Period=2π/(1/4)=8π
\n" ); document.write( "1/4 period=2π
\n" ); document.write( "C=0
\n" ); document.write( "Phase shift: none
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\n" ); document.write( "Graphing for two periods:
\n" ); document.write( "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
\n" ); document.write( "(0,ud), (2π,3), (4π,ud), (6π,-3), (8π,ud), (10π,3), (12π,ud), (14π,-3), (16π,ud)
\n" ); document.write( "Note: csc curve sits on top of and below the sin curve with the same period and amplitude of 3.
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