document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1170517>Question 1170517</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the complex number in trigonometric form. Round the angle to the nearest hundredth of a degree.<BR>\n" );
document.write( "5 − 12i\r<BR>\n" );
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document.write( "So far I have gotten 13(cos(22.03)+isin(22.03), and 13(cos(21.83)+isin(21.83).<BR>\n" );
document.write( "All incorrect. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #795404 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=795404\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If  you draw it out on a coordinate grid, using the x-axis for reals and the y-axis for imaginary parts you will put a point at  (5,-12).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28400%2C400%2C-2%2C16%2C-16%2C2%2Cgrid%280%29%2C+line%280%2C0%2C5%2C-12%29%2C+locate%284%2C-12.5%2C%22z%285%2C-12%29%22%29%2C+locate%281%2C-1%2Ctheta%29%2C+green%28line%285%2C0%2C5%2C-12%29%29%0D%0A%0D%0A%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+theta+=+tan%5E-1%28-12%2F5%29+=+-67.38%5Eo+ ALIGN=MIDDLE  ALT=\"+theta+=+tan%5E-1%28-12%2F5%29+=+-67.38%5Eo+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "And the modulus (magnitude or radius for polar form) is equal to the hypotenuse of the drawn triangle:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%285%5E2+%2B+%28-12%29%5E2%29+=+13+ ALIGN=MIDDLE  ALT=\"+sqrt%285%5E2+%2B+%28-12%29%5E2%29+=+13+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Putting these together:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28+z+=+13+%28cos%28-67.38%5Eo%29+%2B+i+%2A+sin%28-67.38%5Eo%29%29+%29+ ALIGN=MIDDLE  ALT=\"+highlight%28+z+=+13+%28cos%28-67.38%5Eo%29+%2B+i+%2A+sin%28-67.38%5Eo%29%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "Noting that -67.38 degrees (CW rotation of 67.38 degrees) is the same as a CCW rotation of 292.62 degrees, you can write:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28+z+=+13+%28cos%28292.62%5Eo%29+%2B+i+%2A+sin%28292.62%5Eo%29%29+%29+ ALIGN=MIDDLE  ALT=\"+highlight%28+z+=+13+%28cos%28292.62%5Eo%29+%2B+i+%2A+sin%28292.62%5Eo%29%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "While the negative angle might be a little more common, both answers should be acceptable.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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