document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=499242>Question 499242</A>: <I><SPAN STYLE=\"word-break: break-all;\"> y=-3sin (pi/2)theta<BR>\n" );
document.write( "my answer is : a=-3 , period = 4<BR>\n" );
document.write( "I have correct answer, but I don't know draw the graph, Please! help me draw the graph </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #337529 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=337529\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the period is the length of one cycle on the graph.<BR>\n" );
document.write( "the frequency is 1 divided by the period.\r<BR>\n" );
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document.write( "in a normal cycle, the period is equal to 2p/1 = 2p<BR>\n" );
document.write( "p is equal to pi which is equal to 3.141592654\r<BR>\n" );
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document.write( "here's a graph of y = sin(x).<BR>\n" );
document.write( "the amplitude is equal to 1<BR>\n" );
document.write( "the period is equal to 2p which is equal to 6.28....<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2011/sep171.jpg\" alt = \"$$$$$\" />\r<BR>\n" );
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document.write( "here's a graph of y = 3sin((p/2)x).<BR>\n" );
document.write( "the amplitude is equal to 3.<BR>\n" );
document.write( "the period is equal to 4.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2011/sep172.jpg\" alt = \"$$$$$\" />\r<BR>\n" );
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document.write( "the period is the length of one full cycle.  at the end of a full cycle, the pattern starts repeating itself again.\r<BR>\n" );
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document.write( "the frequency is the number of times the pattern repeats itself within a normal cycle of 360 degrees which is equal to 2p.\r<BR>\n" );
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document.write( "in your example, the period is equal to 4.<BR>\n" );
document.write( "the frequency is 1 / period = 1/4.<BR>\n" );
document.write( "this means that the full cycle will be shown 2p/4 = 1.57 times in a normal period of 2p.\r<BR>\n" );
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document.write( "to describe this further, the graph of y = sin(x) has a period of 2p and a frequency of 1/2p.<BR>\n" );
document.write( "the frequency means that the full cycle will be shown 1/2p * 2p = 1 time in a normal period of 2p.\r<BR>\n" );
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document.write( "to go one step further, the graph of y = sin(2x) has a period of p.<BR>\n" );
document.write( "it's frequency is 1/p.<BR>\n" );
document.write( "the frequency means that the full cycle will be shown 1/p * 2p = 2 times in a normal period of 2p.\r<BR>\n" );
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document.write( "when you graph the function, the period is the length along the x axis which is described in terms of radians rather than degrees.\r<BR>\n" );
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document.write( "1 normal cycle would be 6.28 in length on the graph.<BR>\n" );
document.write( "your function was equal to 4 in length on the graph.\r<BR>\n" );
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document.write( "here's a reference you might want to check out.<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"http://www.algebralab.org/lessons/lesson.aspx?file=trigonometry_trigperiodfreq.xml\" target = \"_blank\">http://www.algebralab.org/lessons/lesson.aspx?file=trigonometry_trigperiodfreq.xml</a> </SPAN>\n" );
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