document.write( "Question 488839: I am having problems graphing this problem y=3/4sin(1/2 theta-pi). Please help \n" ); document.write( "
Algebra.Com's Answer #333473 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! I am having problems graphing this problem y=3/4sin(1/2 theta-pi) \n" ); document.write( "** \n" ); document.write( "Standard form for graph of sin function: y=Asin(Bx-C), A=amplitude, period=2π/B, \n" ); document.write( "Phase-shift=C/B \n" ); document.write( ".. \n" ); document.write( "y=3/4sin(1/2 theta-pi) \n" ); document.write( "y=3/4*sin(x/2-π) \n" ); document.write( "A=3/4 \n" ); document.write( "B=1/2 \n" ); document.write( "Period=2π/B=2π/(1/2)=4π \n" ); document.write( "1/4 period=4π/4=π \n" ); document.write( "Phase-shift=C/B=-π/(1/2)=-2π (to the right) \n" ); document.write( ".. \n" ); document.write( "Graphing function for one period on (x,y) coordinate system: \n" ); document.write( "On the x-axis make tick marks at π, 2π, 3π, and 4π (1/4 period points) \n" ); document.write( "At x=0,y=3/4*sin(x/2-π)=3/4sin(-π)=0 \n" ); document.write( "At x=π,y=3/4*sin(π/2-π)=3/4sin(-π/2)=-3/4 \n" ); document.write( "At x=2π, y=0 \n" ); document.write( "At x=3π, y=3/4 \n" ); document.write( "At x=4π, y=0 \n" ); document.write( "You now have the following coordinates to graph given sin function: \n" ); document.write( "(0,0), (π,-3/4), (2π,0), (3π,3/4), (4π,0) \n" ); document.write( " |