document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1158674>Question 1158674</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 − 2π/3)\r<BR>\n" );
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document.write( "I am not sure if I need to solve for sin a=-5/13 or sin (a-2π/3)\r<BR>\n" );
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document.write( "Please help! I want to know how to do this problem so if you could walk me through it that would help a lot! Thank you.\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 #781656 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</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=781656\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> use the given conditions to find the exact value of the expression: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28a%29=%28-5%2F13%29 ALIGN=MIDDLE  ALT=\"sin%28a%29=%28-5%2F13%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28a%29%3E+0 ALIGN=MIDDLE  ALT=\"tan%28a%29%3E+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28a-%282pi%2F3%29%29 ALIGN=MIDDLE  ALT=\"sin%28a-%282pi%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28a%29+=+-5%2F13 ALIGN=MIDDLE  ALT=\"sin%28a%29+=+-5%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan+%28a%29+%3E+0+ ALIGN=MIDDLE  ALT=\"tan+%28a%29+%3E+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, it follows that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28a%29+%3C+0 ALIGN=MIDDLE  ALT=\"cos%28a%29+%3C+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > (Third quadrant)\r<BR>\n" );
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document.write( "So \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos+%28a%29+=-sqrt%28+1+-+%285%2F13%29%5E2+%29 ALIGN=MIDDLE  ALT=\"cos+%28a%29+=-sqrt%28+1+-+%285%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+%28a%29+=+-sqrt%28%28169+-+25%29%2F169+%29 ALIGN=MIDDLE  ALT=\"cos+%28a%29+=+-sqrt%28%28169+-+25%29%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+%28a%29++=+-+12%2F13 ALIGN=MIDDLE  ALT=\"cos+%28a%29++=+-+12%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28a-%282pi%2F3%29%29=sin%28a%29%2Acos%282pi%2F3%29-cos%28a%29%2Asin%282pi%2F3%29 ALIGN=MIDDLE  ALT=\"sin%28a-%282pi%2F3%29%29=sin%28a%29%2Acos%282pi%2F3%29-cos%28a%29%2Asin%282pi%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Substituting values: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28a%29=%28-5%2F13%29 ALIGN=MIDDLE  ALT=\"sin%28a%29=%28-5%2F13%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%282pi%2F3%29=-1%2F2 ALIGN=MIDDLE  ALT=\"cos%282pi%2F3%29=-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos+%28a%29++=+-+12%2F13 ALIGN=MIDDLE  ALT=\"cos+%28a%29++=+-+12%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%282pi%2F3%29=sqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"sin%282pi%2F3%29=sqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28a-%282pi%2F3%29%29=%28-5%2F13%29%28-1%2F2%29-%28-12%2F13%29%28sqrt%283%29%2F2%29 ALIGN=MIDDLE  ALT=\"sin%28a-%282pi%2F3%29%29=%28-5%2F13%29%28-1%2F2%29-%28-12%2F13%29%28sqrt%283%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28a-%282pi%2F3%29%29=%285%2F26%29%2B12+sqrt%283%29%2F26 ALIGN=MIDDLE  ALT=\"sin%28a-%282pi%2F3%29%29=%285%2F26%29%2B12+sqrt%283%29%2F26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28a-%282pi%2F3%29%29=%285%2B12sqrt%283%29%29%2F26 ALIGN=MIDDLE  ALT=\"sin%28a-%282pi%2F3%29%29=%285%2B12sqrt%283%29%29%2F26\"   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%28a-%282pi%2F3%29%29=5%2F26+%2B+%286sqrt%283%29%29%2F13 ALIGN=MIDDLE  ALT=\"sin%28a-%282pi%2F3%29%29=5%2F26+%2B+%286sqrt%283%29%29%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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