document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=719857>Question 719857</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the exact value of each of the following under the given conditions:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cotA=+-24%2F7 ALIGN=MIDDLE  ALT=\"cotA=+-24%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F2+%3C+A+%3C+pi ALIGN=MIDDLE  ALT=\"pi%2F2+%3C+A+%3C+pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cosB=+5%2F6 ALIGN=MIDDLE  ALT=\"cosB=+5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+%3C+B+%3C+pi%2F2+ ALIGN=MIDDLE  ALT=\"0+%3C+B+%3C+pi%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+%28A%2BB%29 ALIGN=MIDDLE  ALT=\"sin+%28A%2BB%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos+%28A-B%29 ALIGN=MIDDLE  ALT=\"cos+%28A-B%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+%28A-B%29 ALIGN=MIDDLE  ALT=\"sin+%28A-B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan+%28A%2BB%29+ ALIGN=MIDDLE  ALT=\"tan+%28A%2BB%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #441890 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=441890\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the exact value of each of the following under the given conditions:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cotA=+-24%2F7 ALIGN=MIDDLE  ALT=\"cotA=+-24%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F2+%3C+A+%3C+pi ALIGN=MIDDLE  ALT=\"pi%2F2+%3C+A+%3C+pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cosB=+5%2F6 ALIGN=MIDDLE  ALT=\"cosB=+5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+%3C+B+%3C+pi%2F2+ ALIGN=MIDDLE  ALT=\"0+%3C+B+%3C+pi%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+%28A%2BB%29 ALIGN=MIDDLE  ALT=\"sin+%28A%2BB%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos+%28A-B%29 ALIGN=MIDDLE  ALT=\"cos+%28A-B%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+%28A-B%29 ALIGN=MIDDLE  ALT=\"sin+%28A-B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan+%28A%2BB%29+ ALIGN=MIDDLE  ALT=\"tan+%28A%2BB%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "***<BR>\n" );
document.write( "let o=opposite side<BR>\n" );
document.write( "let a=adjacent side<BR>\n" );
document.write( "let h=hypotenuse<BR>\n" );
document.write( "..<BR>\n" );
document.write( "&#960;/2 < A < &#960; (quadrant II)<BR>\n" );
document.write( "cotA=-24/7=a/o<BR>\n" );
document.write( "a=-24, o=7<BR>\n" );
document.write( "h=&#8730;(o^2+24^2)=&#8730;(49+576)=&#8730;625=25<BR>\n" );
document.write( "sinA=o/h=7/25<BR>\n" );
document.write( "cosA=a/h=-24/25<BR>\n" );
document.write( "tanA=o/a=-7/24<BR>\n" );
document.write( "...<BR>\n" );
document.write( "0 < B < &#960;/2 (quadrant I)<BR>\n" );
document.write( "cosB=5/6=a/h<BR>\n" );
document.write( "a=5, h=6<BR>\n" );
document.write( "o=&#8730;(h^2-a^2)=&#8730;(36-25)=&#8730;11<BR>\n" );
document.write( "sinB=o/h=&#8730;11/6<BR>\n" );
document.write( "cosB=a/h=5/6<BR>\n" );
document.write( "tanB=o/a=&#8730;11/5<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Identity: sin(A+B)=sinAcosB+cosAsinB<BR>\n" );
document.write( "=7/25*5/6+(-24/25*&#8730;11/6)<BR>\n" );
document.write( "=35/150-24&#8730;11/150=(35-24&#8730;11)/150<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Identity: sin(A-B)=sinAcosB-cosAsinB<BR>\n" );
document.write( "=7/25*5/6-(-24/25*&#8730;11/6)<BR>\n" );
document.write( "=35/150+24&#8730;11/150<BR>\n" );
document.write( "=(35+24&#8730;11)/150<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Identity:cos(A-B)=cosAcosB+sinAsinB<BR>\n" );
document.write( "=-24/25*5/6+7/25*&#8730;11/6<BR>\n" );
document.write( "=-120/150+7&#8730;11/150<BR>\n" );
document.write( "=-120+7&#8730;11/150<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Identity:tan(A+B)=(tanA+tanB)/(1-tanAtanB)<BR>\n" );
document.write( "=(-7/24+&#8730;11/5)/(1-(-7/24*&#8730;11/5)<BR>\n" );
document.write( "=(-7/24+&#8730;11/5)/(1+7&#8730;11/120)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );