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" );
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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" );
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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" );
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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" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #782731 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=782731\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Use the given conditions to find the exact value of the expression.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+%28alpha%29+=+-5%2F13 ALIGN=MIDDLE  ALT=\"sin+%28alpha%29+=+-5%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan+%28alpha%29+%3E+0+ ALIGN=MIDDLE  ALT=\"tan+%28alpha%29+%3E+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+%28alpha+-+5pi%2F3%29 ALIGN=MIDDLE  ALT=\"sin+%28alpha+-+5pi%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28alpha%29=-sqrt%281-sin%5E2%28alpha%29+%29 ALIGN=MIDDLE  ALT=\"cos%28alpha%29=-sqrt%281-sin%5E2%28alpha%29+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28alpha%29=-sqrt%281-%28-5%2F13%29%5E2+%29 ALIGN=MIDDLE  ALT=\"cos%28alpha%29=-sqrt%281-%28-5%2F13%29%5E2+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28alpha%29=-sqrt%281-25%2F169+%29 ALIGN=MIDDLE  ALT=\"cos%28alpha%29=-sqrt%281-25%2F169+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28alpha%29=-sqrt%28169%2F169-25%2F169+%29 ALIGN=MIDDLE  ALT=\"cos%28alpha%29=-sqrt%28169%2F169-25%2F169+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28alpha%29=-sqrt%28144%2F169+%29 ALIGN=MIDDLE  ALT=\"cos%28alpha%29=-sqrt%28144%2F169+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28alpha%29=-12%2F13 ALIGN=MIDDLE  ALT=\"cos%28alpha%29=-12%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan+%28alpha%29+=+%28-5%2F13+%29%2F%28-12%2F13%29+ ALIGN=MIDDLE  ALT=\"tan+%28alpha%29+=+%28-5%2F13+%29%2F%28-12%2F13%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan+%28alpha%29+=+5%2F12 ALIGN=MIDDLE  ALT=\"+tan+%28alpha%29+=+5%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan+%28alpha%29+%3E+0+ ALIGN=MIDDLE  ALT=\"tan+%28alpha%29+%3E+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+%28alpha+-+5pi%2F3%29 ALIGN=MIDDLE  ALT=\"sin+%28alpha+-+5pi%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >->use\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+%28alpha+-+beta%29=sin%28alpha%29+cos%28beta%29+-+cos%28alpha%29sin%28beta%29+ ALIGN=MIDDLE  ALT=\"sin+%28alpha+-+beta%29=sin%28alpha%29+cos%28beta%29+-+cos%28alpha%29sin%28beta%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=beta=5pi%2F3 ALIGN=MIDDLE  ALT=\"beta=5pi%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, already given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+%28alpha%29+=+-5%2F13+ ALIGN=MIDDLE  ALT=\"sin+%28alpha%29+=+-5%2F13+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28alpha%29=-12%2F13 ALIGN=MIDDLE  ALT=\"cos%28alpha%29=-12%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+%28alpha+-+5pi%2F3%29=-%285%2F13%29cos%285pi%2F3%29+-+%28-12%2F13%29+sin%285pi%2F3%29 ALIGN=MIDDLE  ALT=\"sin+%28alpha+-+5pi%2F3%29=-%285%2F13%29cos%285pi%2F3%29+-+%28-12%2F13%29+sin%285pi%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >....<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%285pi%2F3%29=1%2F2 ALIGN=MIDDLE  ALT=\"cos%285pi%2F3%29=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%285pi%2F3%29=-sqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"sin%285pi%2F3%29=-sqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+%28alpha+-+5pi%2F3%29=-%285%2F13%29%2A%281%2F2%29+%2B+%2812%2F13%29+%2A%28-sqrt%283%29%2F2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+%28alpha+-+5pi%2F3%29=-5%2F26+-%286sqrt%283%29%29%2F13 ALIGN=MIDDLE  ALT=\"sin+%28alpha+-+5pi%2F3%29=-5%2F26+-%286sqrt%283%29%29%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+%28alpha+-+5pi%2F3%29=-5%2F26+-%286sqrt%283%29%29%2F13 ALIGN=MIDDLE  ALT=\"sin+%28alpha+-+5pi%2F3%29=-5%2F26+-%286sqrt%283%29%29%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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