document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=66162>Question 66162</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help me with this trigonometry problem?\r<BR>\n" );
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document.write( "Give 5 keypoints and sketch the graphs of <BR>\n" );
document.write( "y=3Sin (x-pie/3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #46917 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=46917\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y=3Sin (x-pi/3)<BR>\n" );
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document.write( "I'm not sure what you mean by \"key\" points but<BR>\n" );
document.write( "here are a few points.<BR>\n" );
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document.write( "If x=pi/3, y=3sin0=0; this is one point where the curve crosses the x-axis.<BR>\n" );
document.write( "If x-(pi/3)=pi/2, x=pi/3+pi/2=(5/6)pi, y=3sin(pi/2)=3; this is the peak<BR>\n" );
document.write( "point of the curve.<BR>\n" );
document.write( "If x-pi/3=(3/2)pi, then x=pi/3+(3/2)pi, x=[(2+9)/6]pi=(11/6)pi<BR>\n" );
document.write( "So if x=(11/6)pi y=-3; this is the lowest point of the curve<BR>\n" );
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document.write( "Comment: The function has Period = 2pi so you can find as many<BR>\n" );
document.write( "additional points as you wish.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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