document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1133319>Question 1133319</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Express the complex number in polar form: -5 + 5i<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #750507 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=750507\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Express the complex number in polar form: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5+%2B+5i ALIGN=MIDDLE  ALT=\"-5+%2B+5i\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We know that any complex number, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bbi ALIGN=MIDDLE  ALT=\"a%2Bbi\"   DISABLED_style= \"max-width:90%; height:auto;\" >, can be written in modulus-argument form, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=r%28cos%28x%29%2Bi%2Asin%28x%29%29 ALIGN=MIDDLE  ALT=\"z=r%28cos%28x%29%2Bi%2Asin%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <BR>\n" );
document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=sqrt%28a%5E2%2Bb%5E2%29 ALIGN=MIDDLE  ALT=\"r=sqrt%28a%5E2%2Bb%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > satisfies <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%29=b%2Fr ALIGN=MIDDLE  ALT=\"sin%28x%29=b%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28x%29=a%2Fr ALIGN=MIDDLE  ALT=\"cos%28x%29=a%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "if given\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bbi=-5+%2B+5i ALIGN=MIDDLE  ALT=\"a%2Bbi=-5+%2B+5i\"   DISABLED_style= \"max-width:90%; height:auto;\" >   =><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-5 ALIGN=MIDDLE  ALT=\"a=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=5 ALIGN=MIDDLE  ALT=\"b=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   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=r=sqrt%28%28-5%29%5E2%2B5%5E2%29 ALIGN=MIDDLE  ALT=\"r=sqrt%28%28-5%29%5E2%2B5%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=sqrt%2825%2B25%29 ALIGN=MIDDLE  ALT=\"r=sqrt%2825%2B25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=sqrt%282%2A25%29 ALIGN=MIDDLE  ALT=\"r=sqrt%282%2A25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=5sqrt%282%29 ALIGN=MIDDLE  ALT=\"r=5sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "find angle:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%29=b%2Fr ALIGN=MIDDLE  ALT=\"sin%28x%29=b%2Fr\"   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=sin%28x%29=5%2F5sqrt%282%29=1%2Fsqrt%282%29 ALIGN=MIDDLE  ALT=\"sin%28x%29=5%2F5sqrt%282%29=1%2Fsqrt%282%29\"   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=sin%5E-1%281%2Fsqrt%282%29%29=45 ALIGN=MIDDLE  ALT=\"sin%5E-1%281%2Fsqrt%282%29%29=45\"   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%28x%29=a%2Fr ALIGN=MIDDLE  ALT=\"cos%28x%29=a%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28x%29=-5%2F5sqrt%282%29=-1%2Fsqrt%282%29 ALIGN=MIDDLE  ALT=\"cos%28x%29=-5%2F5sqrt%282%29=-1%2Fsqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-cos%28x%29=sin%28x%29 ALIGN=MIDDLE  ALT=\"-cos%28x%29=sin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%2845%29 ALIGN=MIDDLE  ALT=\"cos%2845%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is positive value, solution is in II quadrant, angle will be\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180-45=135 ALIGN=MIDDLE  ALT=\"180-45=135\"   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%5E1%28-1%2Fsqrt%282%29%29=135 ALIGN=MIDDLE  ALT=\"cos%5E1%28-1%2Fsqrt%282%29%29=135\"   DISABLED_style= \"max-width:90%; height:auto;\" >°\r<BR>\n" );
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document.write( "Polar form:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=r%28cos%28x%29%2Bi%2Asin%28x%29%29 ALIGN=MIDDLE  ALT=\"z=r%28cos%28x%29%2Bi%2Asin%28x%29%29\"   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=z+=5sqrt%282%29%28cos%28135%29%2Bi%2Asin%28135%29%29 ALIGN=MIDDLE  ALT=\"z+=5sqrt%282%29%28cos%28135%29%2Bi%2Asin%28135%29%29\"   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=z+=7.07107%28cos%28135%29%2Bi%2Asin%28135%29%29 ALIGN=MIDDLE  ALT=\"z+=7.07107%28cos%28135%29%2Bi%2Asin%28135%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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