document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1159666>Question 1159666</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the given conditions to find the exact value of the expression.<BR>\n" );
document.write( "sin α = − 5/13,  tan α > 0,  sin (α − 5π/3)\r<BR>\n" );
document.write( "\n" );
document.write( "I got 5+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >/3 which is wrong. \r<BR>\n" );
document.write( "\n" );
document.write( "This is my work: <BR>\n" );
document.write( "cos a=-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281-sin%5E2+%28theta%29%29 ALIGN=MIDDLE  ALT=\"sqrt%281-sin%5E2+%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >= 12/13\r<BR>\n" );
document.write( "\n" );
document.write( "b= -5pi/3 which is has the values (-1/2) for cosb and (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >/2 for sinb. <BR>\n" );
document.write( "I use sin(a-b) formula= sinAcosB+cosAsinB<BR>\n" );
document.write( "= (-5/13)(-1/2)+(12/13)(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >/2)= 5+12<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >/36 = 5+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >/3 or am I not suppose to simplify the 12 and 36? \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #782729 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=782729\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );