document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1160411>Question 1160411</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if cos theta = -8/17 and theta is in quadrant 3, <BR>\n" );
document.write( "cos 2theta= ? A.161/289 B.-161/289 C.64/289 D.-62/289 <BR>\n" );
document.write( "and tan 2 theta=? A. -30/217 B-30/161 C.-240/217 D.-240/161 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #783686 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=783686\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos+%28theta%29+=+-8%2F17 ALIGN=MIDDLE  ALT=\"cos+%28theta%29+=+-8%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" > and theta is in quadrant 3,\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=+%28-8%2F17%29%5E2=64%2F289+ ALIGN=MIDDLE  ALT=\"cos+%5E2%28theta%29=+%28-8%2F17%29%5E2=64%2F289+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "answer:\r<BR>\n" );
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document.write( "C.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64%2F289+ ALIGN=MIDDLE  ALT=\"64%2F289+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%5E2+%28theta%29=sin%28theta%29%2F+cos+%28theta%29 ALIGN=MIDDLE  ALT=\"tan%5E2+%28theta%29=sin%28theta%29%2F+cos+%28theta%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=sin%28theta%29=opposite%2Fhypotenuse ALIGN=MIDDLE  ALT=\"sin%28theta%29=opposite%2Fhypotenuse\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28theta%29=adjacent%2Fhypotenuse+ ALIGN=MIDDLE  ALT=\"cos%28theta%29=adjacent%2Fhypotenuse+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28theta%29=opposite%2Fadjacent+ ALIGN=MIDDLE  ALT=\"tan%28theta%29=opposite%2Fadjacent+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos+%28theta%29+=+-8%2F17 ALIGN=MIDDLE  ALT=\"cos+%28theta%29+=+-8%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" > =><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=adjacent=-8 ALIGN=MIDDLE  ALT=\"adjacent=-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=hypotenuse=17+ ALIGN=MIDDLE  ALT=\"hypotenuse=17+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "using Pythagorean theorem, we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=opposite=sqrt%2817%5E2-%28-8%29%5E2%29 ALIGN=MIDDLE  ALT=\"opposite=sqrt%2817%5E2-%28-8%29%5E2%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=opposite=sqrt%28289-64%29 ALIGN=MIDDLE  ALT=\"opposite=sqrt%28289-64%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=opposite=sqrt%28225%29 ALIGN=MIDDLE  ALT=\"opposite=sqrt%28225%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=opposite=15 ALIGN=MIDDLE  ALT=\"opposite=15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta ALIGN=MIDDLE  ALT=\"theta\"   DISABLED_style= \"max-width:90%; height:auto;\" > is in quadrant <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=III ALIGN=MIDDLE  ALT=\"III\"   DISABLED_style= \"max-width:90%; height:auto;\" >, in quadrant <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=III ALIGN=MIDDLE  ALT=\"III\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28theta%29+%3C+0 ALIGN=MIDDLE  ALT=\"cos%28theta%29+%3C+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28theta%29+%3C+0 ALIGN=MIDDLE  ALT=\"sin%28theta%29+%3C+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28theta%29+%3E+0+ ALIGN=MIDDLE  ALT=\"tan%28theta%29+%3E+0+\"   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=sin%28theta%29=-opposite%2Fhypotenuse ALIGN=MIDDLE  ALT=\"sin%28theta%29=-opposite%2Fhypotenuse\"   DISABLED_style= \"max-width:90%; height:auto;\" >....substitute opposite and hypotenuse\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28theta%29=-15%2F17 ALIGN=MIDDLE  ALT=\"sin%28theta%29=-15%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28theta%29+=+%28-15%2F17%29%2F+%28-8%2F17%29+ ALIGN=MIDDLE  ALT=\"tan%28theta%29+=+%28-15%2F17%29%2F+%28-8%2F17%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=tan%28theta%29+=+%2815%2Fcross%2817%29%29%2F+%288%2Fcross%2817%29%29+ ALIGN=MIDDLE  ALT=\"tan%28theta%29+=+%2815%2Fcross%2817%29%29%2F+%288%2Fcross%2817%29%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=tan%28theta%29+=+15%2F+8+ ALIGN=MIDDLE  ALT=\"tan%28theta%29+=+15%2F+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%5E2%28theta%29+=+%2815%2F+8+%29%5E2 ALIGN=MIDDLE  ALT=\"tan%5E2%28theta%29+=+%2815%2F+8+%29%5E2\"   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=tan%5E2%28theta%29+=+225%2F+64 ALIGN=MIDDLE  ALT=\"tan%5E2%28theta%29+=+225%2F+64\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then, \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%282theta%29+=+2tan%28theta%29+%2F+%281+-+tan%5E2%28theta%29%29 ALIGN=MIDDLE  ALT=\"tan%282theta%29+=+2tan%28theta%29+%2F+%281+-+tan%5E2%28theta%29%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=tan%282theta%29+=+2%2815%2F+8+%29+%2F+%281+-+225%2F+64%29 ALIGN=MIDDLE  ALT=\"tan%282theta%29+=+2%2815%2F+8+%29+%2F+%281+-+225%2F+64%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=tan%282theta%29+=+%2815%2F+4+%29+%2F+%28%2864+-+225%29%2F+64%29 ALIGN=MIDDLE  ALT=\"tan%282theta%29+=+%2815%2F+4+%29+%2F+%28%2864+-+225%29%2F+64%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=tan%282theta%29+=+%2815%2F+1+%29+%2F+%28-161%29%2F+16%29 ALIGN=MIDDLE  ALT=\"tan%282theta%29+=+%2815%2F+1+%29+%2F+%28-161%29%2F+16%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=tan%282theta%29+=+-240%2F161 ALIGN=MIDDLE  ALT=\"tan%282theta%29+=+-240%2F161\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "answer:\r<BR>\n" );
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document.write( "D.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-240%2F161 ALIGN=MIDDLE  ALT=\"-240%2F161\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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