document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204390>Question 1204390</A>: <I><SPAN STYLE=\"word-break: break-all;\"> cos(4𝑥) − 3 sin (3𝜋/2+ 2𝑥) + 2 = 0<BR>\n" );
document.write( "Find the general solutions (in radians) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #840607 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=840607\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%284x%29+-+3sin+%283pi%2F2%2B+2x%29+%2B+2+=+0 ALIGN=MIDDLE  ALT=\"cos%284x%29+-+3sin+%283pi%2F2%2B+2x%29+%2B+2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "using trigonometric identities to simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%5E4%28x%29+-+6+sin%5E2%28x%29+cos%5E2%28x%29+%2B+sin%5E4%28x%29-3%28-cos%282+x%29%29%2B2=0 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%5E4%28x%29+-+6sin%5E2%28x%29+cos%5E2%28x%29+%2B+sin%5E4%28x%29-3%281+-+2cos%5E2%28x%29%29%2B2=0 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cos%5E4%28x%29%2B+sin%5E4%28x%29%29+-+6sin%5E2%28x%29+cos%5E2%28x%29+-3+%2B+6cos%5E2%28x%29%2B2=0 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281+-+2cos%5E2%28x%29+%2B+2cos%5E4%28x%29%29%2B+%286cos%5E2%28x%29+-+6sin%5E2%28x%29%2Acos%5E2%28x%29%29+-1=0 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+-+2cos%5E2%28x%29+%2B+2cos%5E4%28x%29%2B+6cos%5E2%28x%29%281+-+sin%5E2%28x%29%29+-1=0 ALIGN=MIDDLE  ALT=\"1+-+2cos%5E2%28x%29+%2B+2cos%5E4%28x%29%2B+6cos%5E2%28x%29%281+-+sin%5E2%28x%29%29+-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >}\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+-+2cos%5E2%28x%29+%2B+2+cos%5E4%28x%29%2B+6cos%5E2%28x%29%2Acos%5E2%28x%29+-1=0 ALIGN=MIDDLE  ALT=\"1+-+2cos%5E2%28x%29+%2B+2+cos%5E4%28x%29%2B+6cos%5E2%28x%29%2Acos%5E2%28x%29+-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-+2+cos%5E2%28x%29+%2B+2+cos%5E4%28x%29%2B+6cos%5E4%28x%29+=0 ALIGN=MIDDLE  ALT=\"+-+2+cos%5E2%28x%29+%2B+2+cos%5E4%28x%29%2B+6cos%5E4%28x%29+=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8cos%5E4%28x%29-+2+cos%5E2%28x%29++=0 ALIGN=MIDDLE  ALT=\"8cos%5E4%28x%29-+2+cos%5E2%28x%29++=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2cos%5E2%28x%29+%284cos%5E2%28x%29-+1%29+=0 ALIGN=MIDDLE  ALT=\"2cos%5E2%28x%29+%284cos%5E2%28x%29-+1%29+=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solutions:\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2cos%5E2%28x%29++=0 ALIGN=MIDDLE  ALT=\"2cos%5E2%28x%29++=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=pi%2An+%2B+pi%2F2 ALIGN=MIDDLE  ALT=\"x+=pi%2An+%2B+pi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > element <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Z ALIGN=MIDDLE  ALT=\"Z\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284cos%5E2%28x%29-+1%29+=0+ ALIGN=MIDDLE  ALT=\"%284cos%5E2%28x%29-+1%29+=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+pi%2An+-+pi%2F3 ALIGN=MIDDLE  ALT=\"x+=+pi%2An+-+pi%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > element <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Z ALIGN=MIDDLE  ALT=\"Z\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+pi%2An+%2Bpi%2F3 ALIGN=MIDDLE  ALT=\"x+=+pi%2An+%2Bpi%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > element <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Z ALIGN=MIDDLE  ALT=\"Z\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "combine solutions:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=pi%2An+%2B+pi%2F2 ALIGN=MIDDLE  ALT=\"x+=pi%2An+%2B+pi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+pi%2An+-+pi%2F3 ALIGN=MIDDLE  ALT=\"x+=+pi%2An+-+pi%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+pi%2An+%2Bpi%2F3 ALIGN=MIDDLE  ALT=\"x+=+pi%2An+%2Bpi%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );