document.write( "Question 738273: State the phase shift of y=cos(theta-pi/3). Then graph the function. The graph that it asks me to use has pi and 2pi as the x coordinates, I'm not sure how to graph on it.
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #450874 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! State the phase shift of y=cos(theta-pi/3). Then graph the function. The graph that it asks me to use has pi and 2pi as the x coordinates, I'm not sure how to graph on it. \n" ); document.write( "*** \n" ); document.write( "Form of equation for cos: y=Acos(Bx-C), A=amplitude, period=2π/B, phase shift=(C/B) \n" ); document.write( "For given equation: y=cos(x-π/3) \n" ); document.write( "amplitude=1 \n" ); document.write( "B=1 \n" ); document.write( "period=2π/B=2π \n" ); document.write( "(1/4) period=π/2 \n" ); document.write( "phase shift: C/B=π/3/1=π/3 (shift to the right) \n" ); document.write( "Graphing: \n" ); document.write( "start with coordinates of basic cos curve for one period: (x-axis scale in radians) \n" ); document.write( "(0,1), ((π/2),0), (π,-1), (3π/2,(-1)), (2π,0) \n" ); document.write( "shift curve (π/3) to the right \n" ); document.write( "(0,.5), ((π/3),1), ((5π/6),0), (4π3,-1), (11π/6,(-1)), (7π/3,0) \n" ); document.write( " \n" ); document.write( " |