document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183305>Question 1183305</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given sin(a) = 5/8 and a is in quadrant 2 and sin (b) = -7/9 and b is in quadrant 3. Use sum and difference formulas to find the following: <BR>\n" );
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document.write( "tan(a+b) =  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #813556 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=813556\">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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28a%29+=+5%2F8 ALIGN=MIDDLE  ALT=\"sin%28a%29+=+5%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > and a is in quadrant 2 \r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28a%29++=opp%2Fhyp=5%2F8 ALIGN=MIDDLE  ALT=\"sin%28a%29++=opp%2Fhyp=5%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > =><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=opp=5 ALIGN=MIDDLE  ALT=\"opp=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+hyp=8 ALIGN=MIDDLE  ALT=\"+hyp=8\"   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=adj=sqrt%288%5E2-5%5E2%29 ALIGN=MIDDLE  ALT=\"adj=sqrt%288%5E2-5%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=adj=sqrt%2864-25%29 ALIGN=MIDDLE  ALT=\"adj=sqrt%2864-25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=adj=sqrt%2839%29 ALIGN=MIDDLE  ALT=\"adj=sqrt%2839%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "cosine in quadrant 2 is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=negative ALIGN=MIDDLE  ALT=\"negative\"   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%28a%29+=-adj%2Fhyp+=-sqrt%2839%29%2F8 ALIGN=MIDDLE  ALT=\"cos%28a%29+=-adj%2Fhyp+=-sqrt%2839%29%2F8\"   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=sin+%28b%29+=+-7%2F9 ALIGN=MIDDLE  ALT=\"sin+%28b%29+=+-7%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > and b 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=sin+%28b%29+=+-7%2F9 ALIGN=MIDDLE  ALT=\"sin+%28b%29+=+-7%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > =><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=opp=7 ALIGN=MIDDLE  ALT=\"opp=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=hyp=9 ALIGN=MIDDLE  ALT=\"hyp=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=adj=sqrt%289%5E2-7%5E2%29=sqrt%2832%29=4sqrt%282%29 ALIGN=MIDDLE  ALT=\"adj=sqrt%289%5E2-7%5E2%29=sqrt%2832%29=4sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "cos in  quadrant 3 is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=negative ALIGN=MIDDLE  ALT=\"negative\"   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%28b%29=-adj%2Fhyp ALIGN=MIDDLE  ALT=\"cos%28b%29=-adj%2Fhyp\"   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%28b%29=-4sqrt%282%29%2F9 ALIGN=MIDDLE  ALT=\"cos%28b%29=-4sqrt%282%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, we have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28a%29+=+5%2F8+ ALIGN=MIDDLE  ALT=\"sin%28a%29+=+5%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28a%29=-sqrt%2839%29%2F8 ALIGN=MIDDLE  ALT=\"cos%28a%29=-sqrt%2839%29%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+%28b%29+=+-7%2F9 ALIGN=MIDDLE  ALT=\"sin+%28b%29+=+-7%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28b%29=-4sqrt%282%29%2F9 ALIGN=MIDDLE  ALT=\"cos%28b%29=-4sqrt%282%29%2F9\"   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%28a%2Bb%29+=sin%28a+%2B+b%29%2Fcos%28a+%2B+b%29 ALIGN=MIDDLE  ALT=\"tan%28a%2Bb%29+=sin%28a+%2B+b%29%2Fcos%28a+%2B+b%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%28a%2Bb%29+=%28sin%28a%29+cos%28b%29+%2B+cos%28a%29+sin%28b%29%29%2F%28cos%28a%29+cos%28b%29+-+sin%28a%29+sin%28b%29%29 ALIGN=MIDDLE   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%28a%2Bb%29+=%28%285%2F8%29+%28-4sqrt%282%29%2F9%29+%2B+%28-sqrt%2839%29%2F8%29+%28-7%2F9+%29%29%2F%28%28-sqrt%2839%29%2F8%29+%28-4sqrt%282%29%2F9%29+-+%285%2F8%29+%28-7%2F9%29%29 ALIGN=MIDDLE   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%28a%2Bb%29+=%28%287sqrt%2878%29+-+40%29%2F%2872sqrt%282%29%29%29%2F%28+%284sqrt%2878%29+%2B+35%29%2F72%29 ALIGN=MIDDLE   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%28a%2Bb%29+=%287sqrt%2878%29+-+40%29%2F%28sqrt%282%29+%2835+%2B+4sqrt%2878%29%29%29 ALIGN=MIDDLE  ALT=\"tan%28a%2Bb%29+=%287sqrt%2878%29+-+40%29%2F%28sqrt%282%29+%2835+%2B+4sqrt%2878%29%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%28a%2Bb%29+=%281%2F23%29+%281792sqrt%282%29+-+405sqrt%2839%29%29 ALIGN=MIDDLE  ALT=\"tan%28a%2Bb%29+=%281%2F23%29+%281792sqrt%282%29+-+405sqrt%2839%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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