document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935393>Question 935393</A>: <I><SPAN STYLE=\"word-break: break-all;\"> y=3sin(x-pi over 6)+5 for 0<x<2Pi\r<BR>\n" );
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document.write( "1) The maximum occurs when x= 2 Pi over 3\r<BR>\n" );
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document.write( "I am utterly lost as to why this is true.\r<BR>\n" );
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document.write( "Pi over 6 is 30 degrees.\r<BR>\n" );
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document.write( "I wondered if maybe the CAST diagram would be of relevance here? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #568599 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=568599\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The maximum has to occur when the<BR>\n" );
document.write( "value of the sin function = 1<BR>\n" );
document.write( "That is because for all other values of<BR>\n" );
document.write( "the sin function, you get a negative<BR>\n" );
document.write( "value ( as much as -1 ), or you get<BR>\n" );
document.write( "some positive value less than +1<BR>\n" );
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document.write( "So, I can say that if I replace <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sin%28+x+-+pi%2F6+%29+ ALIGN=MIDDLE  ALT=\"+sin%28+x+-+pi%2F6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > with<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sin%28+y+%29+ ALIGN=MIDDLE  ALT=\"+sin%28+y+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+pi%2F2+ ALIGN=MIDDLE  ALT=\"+y+=+pi%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > to<BR>\n" );
document.write( "make the sin a maximum<BR>\n" );
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document.write( "Sop, I can say:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+pi%2F2+=+x+-+pi%2F6+ ALIGN=MIDDLE  ALT=\"+pi%2F2+=+x+-+pi%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+pi%2F2+%2B+pi%2F6+ ALIGN=MIDDLE  ALT=\"+x+=+pi%2F2+%2B+pi%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28+3pi+%29%2F6+%2B+pi%2F6+ ALIGN=MIDDLE  ALT=\"+x+=+%28+3pi+%29%2F6+%2B+pi%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28+4pi+%29%2F6+ ALIGN=MIDDLE  ALT=\"+x+=+%28+4pi+%29%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%282pi%29%2F3+ ALIGN=MIDDLE  ALT=\"+x+=+%282pi%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The value of the whole expression is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2A1+%2B+5+=+8+ ALIGN=MIDDLE  ALT=\"+3%2A1+%2B+5+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Hope this is clear\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );