document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=42331>Question 42331</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the exact value of cos &#952; if the terminal side of &#952; is standard position contains the point (6,-8). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #27488 by </B><A HREF=/tutors/aboutme.mpl?userid=psbhowmick><B>psbhowmick(878)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=psbhowmick><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=psbhowmick><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=27488\">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=drawing%28400%2C400%2C-10%2C10%2C-10%2C10%2C%0D%0Aline%280%2C0%2C6%2C-8%29%2C%0D%0Agreen%28line%286%2C0%2C6%2C-8%29%29%2C%0D%0Agrid%281%29%2C%0D%0Alocate%286%2C-8%2CP%29%2C%0D%0Alocate%286%2C0%2CA%29%2C%0D%0Alocate%280%2C0%2CO%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The coordinates of P are (6,-8).<BR>\n" );
document.write( "AO = 6 units and AP = -8 units\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "From Pythagorus' theorem in rightangled triangle OAP,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=OP%5E2=AO%5E2+%2B+AP%5E2 ALIGN=MIDDLE  ALT=\"OP%5E2=AO%5E2+%2B+AP%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=OP=sqrt%28AO%5E2+%2B+AP%5E2%29 ALIGN=MIDDLE  ALT=\"OP=sqrt%28AO%5E2+%2B+AP%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=OP=sqrt%286%5E2+%2B+%28-8%29%5E2%29 ALIGN=MIDDLE  ALT=\"OP=sqrt%286%5E2+%2B+%28-8%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=OP=sqrt%2836+%2B+64%29 ALIGN=MIDDLE  ALT=\"OP=sqrt%2836+%2B+64%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=OP=sqrt%28100%29 ALIGN=MIDDLE  ALT=\"OP=sqrt%28100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, OP = 10 units\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now, cos &#952 = cos(< AOP) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=OA%2FOP ALIGN=MIDDLE  ALT=\"OA%2FOP\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F10 ALIGN=MIDDLE  ALT=\"6%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F5 ALIGN=MIDDLE  ALT=\"3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Note: <BR>\n" );
document.write( "sin &#952 = sin(< AOP) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AP%2FOP ALIGN=MIDDLE  ALT=\"AP%2FOP\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-8%29%2F10 ALIGN=MIDDLE  ALT=\"%28-8%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%2F5 ALIGN=MIDDLE  ALT=\"-4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and tan &#952 = tan(< AOP) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AP%2FOA ALIGN=MIDDLE  ALT=\"AP%2FOA\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-8%29%2F6 ALIGN=MIDDLE  ALT=\"%28-8%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%2F3 ALIGN=MIDDLE  ALT=\"-4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );