document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=979151>Question 979151</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the value of sin &#945;  if  tan &#945;  =  -5/9  and  sec &#945; > 0?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #600440 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=600440\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since tangent is negative and secant is positive, this forces the angle to be in quadrant 4.\r<BR>\n" );
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document.write( "Draw a right triangle in this quadrant. Make the opposite leg (from the angle) 9 units long. Make the adjacent leg 5 units long. Use the pythagorean theorem to solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E2%2B9%5E2+=+c%5E2 ALIGN=MIDDLE  ALT=\"5%5E2%2B9%5E2+=+c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+sqrt%28106%29 ALIGN=MIDDLE  ALT=\"c+=+sqrt%28106%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the sine of that angle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=opposite%2Fhypotenuse+=+-9%2F%28sqrt%28106%29%29 ALIGN=MIDDLE  ALT=\"opposite%2Fhypotenuse+=+-9%2F%28sqrt%28106%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Notes: \r<BR>\n" );
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document.write( "1) You can rationalize the denominator, but some books allow you to have that result. If you have to rationalize the denominator, then you should get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-9%2Asqrt%28106%29%29%2F106 ALIGN=MIDDLE  ALT=\"%28-9%2Asqrt%28106%29%29%2F106\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2) Sine is negative in Q4. </SPAN>\n" );
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