document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=966322>Question 966322</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Information given: sin alpha=5/6, 90<alpha<180<BR>\n" );
document.write( " and tan Beta=3/7, 180<Beta<270\r<BR>\n" );
document.write( "\n" );
document.write( "what are cos(alpha+beta) sin(alpha+beta) and tan(alpha+beta)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #590626 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=590626\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Information given: sin alpha=5/6, 90 and tan Beta=3/7, 180 what are cos(alpha+beta) sin(alpha+beta) and tan(alpha+beta)<BR>\n" );
document.write( "***<BR>\n" );
document.write( "sin(a)=5/6 (Q2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28a%29=-sqrt%281-sin%5E2%28a%29%29=-sqrt%281-%2825%2F36%29%29=-sqrt%2811%2F36%29=-sqrt%2811%29%2F6 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "tan(b)=3/7(Q3)<BR>\n" );
document.write( "hypotenuse of reference right triangle in quadrant III=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%5E2%2B7%5E2%29=sqrt%289%2B49%29=sqrt%2858%29 ALIGN=MIDDLE  ALT=\"sqrt%283%5E2%2B7%5E2%29=sqrt%289%2B49%29=sqrt%2858%29\"   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=-3%2Fsqrt%2858%29=-3sqrt%2858%29%2F58 ALIGN=MIDDLE  ALT=\"sin%28b%29=-3%2Fsqrt%2858%29=-3sqrt%2858%29%2F58\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28b%29=-7%2Fsqrt%2858%29-7sqrt%2858%29%2F58 ALIGN=MIDDLE  ALT=\"cos%28b%29=-7%2Fsqrt%2858%29-7sqrt%2858%29%2F58\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "cos(a+b)=cos(a)*cos(b)-sin(a)*sin(b)=(-&#8730;11/6)(-7&#8730;58/58)-(5/6)(-3&#8730;58/58)=7&#8730;638/348+15&#8730;58/348=(7&#8730;638+15&#8730;58)/348<BR>\n" );
document.write( "..<BR>\n" );
document.write( "sin(a+b)=sin(a)cos(b)+cos(a)sin(b)=(5/6)(-7&#8730;58/58)+(-&#8730;11/6)(-3&#8730;58/58)=-35&#8730;58/348+3&#8730;638/348=(-35&#8730;58+3&#8730;638)/348<BR>\n" );
document.write( "..<BR>\n" );
document.write( "tan(a+b)=sin(a+b)/cos(a+b)= (-35&#8730;58+3&#8730;638)/(7&#8730;638+15&#8730;58)/348<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "sin(a)=5/6(Q2)<BR>\n" );
document.write( "a=123.56<BR>\n" );
document.write( "tan(b)=3/7(Q3)<BR>\n" );
document.write( "b=203.20<BR>\n" );
document.write( "a+b=326.76<BR>\n" );
document.write( "cos(a+b)=cos(326.76)=0.8364<BR>\n" );
document.write( "exact value as computed above=(7&#8730;638+15&#8730;58)/348&#8776;0.8363<BR>\n" );
document.write( "sin(a+b)=sin(326.76)=-0.5481<BR>\n" );
document.write( "exact value as computed above=(-35&#8730;58+3&#8730;638)/348&#8776;-0.5482                                                  </SPAN>\n" );
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