document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=547735>Question 547735</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all real solutions to the equation: 4 sin (2x-pi/3)=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #356538 by </B><A HREF=/tutors/aboutme.mpl?userid=mathie123><B>mathie123(224)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathie123><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=356538\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Asin%28%282x-pi%29%2F3%29=0 ALIGN=MIDDLE  ALT=\"4%2Asin%28%282x-pi%29%2F3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Dividing both sides by 4 <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28%282x-pi%29%2F3%29=0 ALIGN=MIDDLE  ALT=\"sin%28%282x-pi%29%2F3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now looking at the y=sin(x) graph we have <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C+-10%2C10%2C-10%2C10%2Csin%28x%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C+-10%2C10%2C-10%2C10%2Csin%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We can see that the graph has a y value of 0 ever 180 degrees (though it is a bit hard to see as this graph is in radians, this is a known fact) (or 180*k where k is an integer).\r<BR>\n" );
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document.write( "So we get (from now on k is an integer)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-pi%29%2F3=180k ALIGN=MIDDLE  ALT=\"2x-pi%29%2F3=180k\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-pi=180%2Ak%2A3 ALIGN=MIDDLE  ALT=\"2x-pi=180%2Ak%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-pi=540%2Ak ALIGN=MIDDLE  ALT=\"2x-pi=540%2Ak\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=540%2Ak%2Bpi ALIGN=MIDDLE  ALT=\"2x=540%2Ak%2Bpi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28540%2Ak%2Bpi%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28540%2Ak%2Bpi%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hopefully this helps!  Let me know if you are unsure still.   </SPAN>\n" );
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