document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=914727>Question 914727</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the acute angle theta that satisfies the given equation. Give theta in both degrees and radians. You should do these problems without a calculator. I know the answer to the problem is 30 degrees= pi/6, but I don't know how to get there. <BR>\n" );
document.write( "Problem: sin theta = 1/2  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #555264 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=555264\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+%28theta%29+=+1%2F2 ALIGN=MIDDLE  ALT=\"sin+%28theta%29+=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( " There are usually two answers for questions like these, so you look at special triangles where sin theta is positive, in this case, the first and second quadrants. <BR>\n" );
document.write( "A special triangle with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+%28theta%29+=+1%2F2 ALIGN=MIDDLE  ALT=\"sin+%28theta%29+=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a 30 - 60 - 90 triangle, with the reference angle being <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30 ALIGN=MIDDLE  ALT=\"30\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "Thus, your answers are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30 ALIGN=MIDDLE  ALT=\"30\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180+-+30 ALIGN=MIDDLE  ALT=\"180+-+30\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30 ALIGN=MIDDLE  ALT=\"30\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150 ALIGN=MIDDLE  ALT=\"150\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees are your answers.\r<BR>\n" );
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document.write( "in radians: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta+=+pi%2F6+%2B+2pi%2Ak ALIGN=MIDDLE  ALT=\"theta+=+pi%2F6+%2B+2pi%2Ak\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5pi%2F6+%2B+2pi%2Ak+ ALIGN=MIDDLE  ALT=\"5pi%2F6+%2B+2pi%2Ak+\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   DISABLED_style= \"max-width:90%; height:auto;\" > is an integer <BR>\n" );
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