document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1177586>Question 1177586</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the exact value of sin(a) knowing that tan a=2/5, and 𝜶∈𝐈𝐈𝐈𝐐. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #806657 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=806657\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "recall:<BR>\n" );
document.write( "Sine Function:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28a%29+=+Opposite+%2F+Hypotenuse ALIGN=MIDDLE  ALT=\"sin%28a%29+=+Opposite+%2F+Hypotenuse\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cosine Function:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28a%29+=+Adjacent+%2F+Hypotenuse ALIGN=MIDDLE  ALT=\"cos%28a%29+=+Adjacent+%2F+Hypotenuse\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Tangent Function:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28a%29+=+Opposite+%2F+Adjacent ALIGN=MIDDLE  ALT=\"tan%28a%29+=+Opposite+%2F+Adjacent\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28a%29=2%2F5 ALIGN=MIDDLE  ALT=\"tan%28a%29=2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > =><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=opp=2 ALIGN=MIDDLE  ALT=\"opp=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=adj=5 ALIGN=MIDDLE  ALT=\"adj=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "find hypothenuse\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=hyp%5E2=opp%5E2%2Badj%5E2 ALIGN=MIDDLE  ALT=\"hyp%5E2=opp%5E2%2Badj%5E2\"   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=hyp%5E2=2%5E2%2B5%5E2 ALIGN=MIDDLE  ALT=\"hyp%5E2=2%5E2%2B5%5E2\"   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=hyp=sqrt%284%2B25%29 ALIGN=MIDDLE  ALT=\"hyp=sqrt%284%2B25%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=hyp=sqrt%2829%29 ALIGN=MIDDLE  ALT=\"hyp=sqrt%2829%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28a%29=2%2Fsqrt%2829%29 ALIGN=MIDDLE  ALT=\"sin%28a%29=2%2Fsqrt%2829%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28a%29=-2%2Fsqrt%2829%29 ALIGN=MIDDLE  ALT=\"sin%28a%29=-2%2Fsqrt%2829%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since given angle is in quadrant <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=III ALIGN=MIDDLE  ALT=\"III\"   DISABLED_style= \"max-width:90%; height:auto;\" > , sin  is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=negative ALIGN=MIDDLE  ALT=\"negative\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so use\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28a%29=-2%2Fsqrt%2829%29 ALIGN=MIDDLE  ALT=\"sin%28a%29=-2%2Fsqrt%2829%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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