document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=544558>Question 544558</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find tan(x-y) if sin(x)=8/17 and cos(y)=3/5 and x and y are both in the first quadrant. no decimals </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #355467 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=355467\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The trigonometric ratios you were given are part of known Pythagorean triples, sets of 3 numbers that can be the lengths of the sides of a right triangle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C200%2C-5%2C20%2C-1%2C9%2C%0D%0Atriangle%28-4%2C0%2C-1%2C0%2C-1%2C4%29%2C%0D%0Atriangle%280%2C0%2C15%2C0%2C15%2C8%29%2C%0D%0Alocate%28-2.5%2C0%2C3%29%2Clocate%28-0.8%2C2%2C4%29%2Clocate%28-3%2C2.5%2C5%29%2C%0D%0Alocate%287%2C0%2C15%29%2Clocate%287%2C5%2C17%29%2Clocate%2815.5%2C4%2C8%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%29=8%2F17 ALIGN=MIDDLE  ALT=\"sin%28x%29=8%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" >-><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28x%29=15%2F17 ALIGN=MIDDLE  ALT=\"cos%28x%29=15%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28x%29=8%2F15 ALIGN=MIDDLE  ALT=\"tan%28x%29=8%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28y%29=3%2F5 ALIGN=MIDDLE  ALT=\"cos%28y%29=3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >-><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%29=4%2F5 ALIGN=MIDDLE  ALT=\"sin%28x%29=4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28x%29=4%2F3 ALIGN=MIDDLE  ALT=\"tan%28x%29=4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then apply one of those formulas, like<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28x-y%29=%28tan%28x%29-tan%28y%29%29%2F%281%2Btan%28x%29tan%28y%29%29=%288%2F15-4%2F3%29%2F%281%2B%288%2F15%29%284%2F3%29%29=%28-12%2F15%29%2F%281%2B32%2F45%29=%28-3%2F5%29%2F%2877%2F45%29=-3%2A45%2F%285%2A77%29=-36%2F77 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );