document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=931504>Question 931504</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Evaluate sin(v &#8722; w) if tan v = 3/4 v is in Quadrant III, sin w = &#8722; &#8730;(10)/10 and w is in Quadrant IV. sin(v &#8722; w) =\r<BR>\n" );
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document.write( "Thank you  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #565594 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=565594\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Evaluate sin(v &#8722; w) if tan v = 3/4 v is in Quadrant III, sin w = &#8722; &#8730;(10)/10 and w is in Quadrant IV. <BR>\n" );
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document.write( "sinv=-3/5 (working with (3-4-5) reference right triangle in quadrant III where sin<0, cos<0.<BR>\n" );
document.write( "cosv=-4/5<BR>\n" );
document.write( "..<BR>\n" );
document.write( "sinw=-&#8730;10/10<BR>\n" );
document.write( "cosw=&#8730;(1-sin^2(w))=&#8730;(1-(1/&#8730;10)^2)=&#8730;(1-(1/10))=&#8730;(9/10)=3/&#8730;10=3&#8730;10/10<BR>\n" );
document.write( "..<BR>\n" );
document.write( "sin(v-w)=sinv*cosw-cosv*sinw=-3/5*3&#8730;10/10-(-4/5)*(-&#8730;10/10)<BR>\n" );
document.write( "=-9&#8730;10/50-4&#8730;10/50=-13&#8730;10/50 </SPAN>\n" );
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