document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1081080>Question 1081080</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If tan x + cot x = 2, then find the value tan^17 x + cot^17 x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #695168 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=695168\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28x%29+%2B+cot%28x%29+=+2 ALIGN=MIDDLE  ALT=\"tan%28x%29+%2B+cot%28x%29+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%29%2Fcos%28x%29+%2B+cos%28x%29%2Fsin%28x%29+=+2 ALIGN=MIDDLE  ALT=\"sin%28x%29%2Fcos%28x%29+%2B+cos%28x%29%2Fsin%28x%29+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%5E2+%28x%29+%2B+cos%5E2%28+x%29%29%2F%28sin%28x%29cos%28x%29%29+=+2 ALIGN=MIDDLE  ALT=\"%28sin%5E2+%28x%29+%2B+cos%5E2%28+x%29%29%2F%28sin%28x%29cos%28x%29%29+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28sin%28x%29cos%28x%29%29+=+2 ALIGN=MIDDLE  ALT=\"1%2F%28sin%28x%29cos%28x%29%29+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sin%28x%29cos%28x%29=+1 ALIGN=MIDDLE  ALT=\"2sin%28x%29cos%28x%29=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28+2x+%29=+1 ALIGN=MIDDLE  ALT=\"sin%28+2x+%29=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+=+90 ALIGN=MIDDLE  ALT=\"2x+=+90\"   DISABLED_style= \"max-width:90%; height:auto;\" >° for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+%3C=+x+%3C=+180 ALIGN=MIDDLE  ALT=\"0+%3C=+x+%3C=+180\"   DISABLED_style= \"max-width:90%; height:auto;\" >°\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+45 ALIGN=MIDDLE  ALT=\"x+=+45\"   DISABLED_style= \"max-width:90%; height:auto;\" >° or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F4 ALIGN=MIDDLE  ALT=\"pi%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > radians\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "we know <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan+%2845%29+=+1 ALIGN=MIDDLE  ALT=\"tan+%2845%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%2845%29+=+1 ALIGN=MIDDLE  ALT=\"cot%2845%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%5E17+%28x%29+%2B+cot%5E17%28+x%29=+1%5E17%2B+1%5E17=+2 ALIGN=MIDDLE  ALT=\"tan%5E17+%28x%29+%2B+cot%5E17%28+x%29=+1%5E17%2B+1%5E17=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );