document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184208>Question 1184208</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the eccentric angle in the first quadrant of a point on the ellipse <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2%2F10+%2B+y%5E2%2F8+=1+ ALIGN=MIDDLE  ALT=\"+x%5E2%2F10+%2B+y%5E2%2F8+=1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is at the distance of 3 units from the center of ellipse? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #814771 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=814771\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "given:\r<BR>\n" );
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document.write( "the ellipse <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2%2F10+%2B+y%5E2%2F8+=1+ ALIGN=MIDDLE  ALT=\"+x%5E2%2F10+%2B+y%5E2%2F8+=1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "a point  is at the distance of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > units from the center of ellipse\r<BR>\n" );
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document.write( "let a point  P(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Acos+%28theta%29 ALIGN=MIDDLE  ALT=\"a%2Acos+%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Asin%28theta%29 ALIGN=MIDDLE  ALT=\"b%2Asin%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > )  \r<BR>\n" );
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document.write( "in <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=sqrt%2810%29 ALIGN=MIDDLE  ALT=\"a=sqrt%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=sqrt%288%29 ALIGN=MIDDLE  ALT=\"b=sqrt%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " P(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2810%29cos%28theta%29 ALIGN=MIDDLE  ALT=\"sqrt%2810%29cos%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%288%29sin%28theta%29 ALIGN=MIDDLE  ALT=\"sqrt%288%29sin%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > )  \r<BR>\n" );
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document.write( "its distance from (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >) is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   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=10cos%5E2+%28theta%29+%2B8sin%5E2%28theta+%29=9 ALIGN=MIDDLE  ALT=\"10cos%5E2+%28theta%29+%2B8sin%5E2%28theta+%29=9\"   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=18sin%5E2%28theta+%29=9 ALIGN=MIDDLE  ALT=\"18sin%5E2%28theta+%29=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >....divide by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9 ALIGN=MIDDLE  ALT=\"9\"   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=2cos%5E2%28theta%29+=1 ALIGN=MIDDLE  ALT=\"2cos%5E2%28theta%29+=1\"   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%5E2%28theta%29+=1%2F2 ALIGN=MIDDLE  ALT=\"cos%5E2%28theta%29+=1%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=cos%28theta%29+=1%2Fsqrt%282%29 ALIGN=MIDDLE  ALT=\"cos%28theta%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=theta+=pi%2F4 ALIGN=MIDDLE  ALT=\"theta+=pi%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );