document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=633150>Question 633150</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the exact value given the following conditions\r<BR>\n" );
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document.write( "a. cos (a + b)<BR>\n" );
document.write( "b. sin (a + b)<BR>\n" );
document.write( "c. tan (a + b)\r<BR>\n" );
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document.write( "sin a = 5/6, pi/2 < a < pi, and tan b = 3/7, pi < b < 3pi/2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #398859 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=398859\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the exact value given the following conditions <BR>\n" );
document.write( "a. cos (a + b)<BR>\n" );
document.write( "b. sin (a + b)<BR>\n" );
document.write( "c. tan (a + b) <BR>\n" );
document.write( "sin a = 5/6, pi/2 < a < pi, and tan b = 3/7, pi < b < 3pi/2<BR>\n" );
document.write( "**<BR>\n" );
document.write( "O=opposite side<BR>\n" );
document.write( "A=adjacent side<BR>\n" );
document.write( "H=hypotenuse<BR>\n" );
document.write( "..<BR>\n" );
document.write( "a is a reference angle in quadrant II where sin>0 and cos<0<BR>\n" );
document.write( "sin a=5/6=O/H (given)<BR>\n" );
document.write( "A=&#8730;(H^2-O^2)=&#8730;(36-25)=&#8730;11<BR>\n" );
document.write( "cos a=-&#8730;11/6<BR>\n" );
document.write( "tan a=-5/&#8730;11<BR>\n" );
document.write( ".. <BR>\n" );
document.write( "b is a reference angle in quadrant III where both sin and cos<0<BR>\n" );
document.write( "tan b=3/7=O/A (given)<BR>\n" );
document.write( "H=&#8730;(O^2+A^2)=&#8730;(9+49)=&#8730;58<BR>\n" );
document.write( "sin b=–3/&#8730;58<BR>\n" );
document.write( "cos b=–7/&#8730;58<BR>\n" );
document.write( "..<BR>\n" );
document.write( "a. cos (a + b)<BR>\n" );
document.write( "=cos a*cos b-sin a*sin b<BR>\n" );
document.write( "=[-&#8730;11/6*-7/&#8730;58]-[(5/6)*(-3&#8730;58)]=(7&#8730;11+15)/(6&#8730;58)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "b. sin (a + b)<BR>\n" );
document.write( "=sin a*cos b+cos a*sin b<BR>\n" );
document.write( "=[(5/6)*(-7/&#8730;58)+[(-&#8730;11/6)*(-3/&#8730;58)]<BR>\n" );
document.write( "=(-35+3&#8730;11)/(6&#8730;58)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "tan(a + b)<BR>\n" );
document.write( "=(tan a+tan b)/(1-tan a tan b)<BR>\n" );
document.write( "=[(-5/&#8730;11)+(3/7)]/[1-(-5/&#8730;11)(3/7)] </SPAN>\n" );
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