document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=757595>Question 757595</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find exact value of tan(arcsec 17÷15 - cot -3÷4) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #460982 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=460982\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find exact value of tan(arcsec 17÷15 - cot -3÷4)<BR>\n" );
document.write( "***<BR>\n" );
document.write( "let sec(x)=17/15<BR>\n" );
document.write( "Identity: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%5E2%28x%29=sec%5E2%28x%29-1 ALIGN=MIDDLE  ALT=\"tan%5E2%28x%29=sec%5E2%28x%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28x%29=sqrt%28sec%5E2%28x%29-1%29=sqrt%28%2817%5E2%2F15%5E2%29-1%29=sqrt%28%28289%2F225%29-1%29=sqrt%2864%2F225%29=8%2F15 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "tan(x)=8/15<BR>\n" );
document.write( "..<BR>\n" );
document.write( "let cot(y)=-3/4<BR>\n" );
document.write( "tan(y)=-4/3<BR>\n" );
document.write( ".. <BR>\n" );
document.write( "tan(arcsec 17÷15 - cot -3÷4)=tan(x-y)<BR>\n" );
document.write( "Identity: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28x-y%29=%28tan%28x%29-tan%28y%29%29%2F%281%2Btan%28x%29tan%28y%29%29 ALIGN=MIDDLE  ALT=\"tan%28x-y%29=%28tan%28x%29-tan%28y%29%29%2F%281%2Btan%28x%29tan%28y%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%288%2F15%29%2B%284%2F3%29%29%2F%281%2B%288%2F15%29%28-4%2F3%29%29=%28%288%2F15%29%2B%284%2F3%29%29%2F%281%2B%288%2F15%29%28-4%2F3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2828%2F15%29%29%2F%281-%2832%2F45%29%29=%2828%2F15%29%2F%2813%2F45%29 ALIGN=MIDDLE  ALT=\"%28%2828%2F15%29%29%2F%281-%2832%2F45%29%29=%2828%2F15%29%2F%2813%2F45%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=84/13<BR>\n" );
document.write( "tan(arcsec 17÷15 - cot -3÷4)=84/13<BR>\n" );
document.write( "..<BR>\n" );
document.write( "calculator check:<BR>\n" );
document.write( "cos(x)=15/17<BR>\n" );
document.write( "x&#8776;28.07º<BR>\n" );
document.write( "tan(y)=-4/3<BR>\n" );
document.write( "y&#8776;126.87º (in Q2 where tan<0)<BR>\n" );
document.write( "x-y=28.07-126.87&#8776;-98.8º (in Q3 where tan>0)<BR>\n" );
document.write( "tan(x-y)=tan(-98.8º)&#8776;6.46<BR>\n" );
document.write( "exact value=84/13&#8776;6.46 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );