document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=70757>Question 70757</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to find the solution for d. 300=50/sin(d/2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #50515 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=50515\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=300=50%2Fsin%28d%2F2%29 ALIGN=MIDDLE  ALT=\"300=50%2Fsin%28d%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > solve for d<BR>\n" );
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document.write( "Replace d/2 by A for the time being to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=300=50%2Fsin%28A%29 ALIGN=MIDDLE  ALT=\"300=50%2Fsin%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Multiply both sides by sin(A) to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=300%2Asin%28A%29+=+50%2Asin%28A%29%2Fsin%28A%29 ALIGN=MIDDLE  ALT=\"300%2Asin%28A%29+=+50%2Asin%28A%29%2Fsin%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Replace the sin(A)/sin(A) by 1. As a result the equation is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=300%2Asin%28A%29+=+50 ALIGN=MIDDLE  ALT=\"300%2Asin%28A%29+=+50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Divide both sides by 300 and get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28A%29+=+50%2F300+=+1%2F6 ALIGN=MIDDLE  ALT=\"sin%28A%29+=+50%2F300+=+1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now by taking the arcsin(A) = 1/6 on a calculator you find that A = 9.5941 degrees.<BR>\n" );
document.write( "But before we had decided that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=d%2F2 ALIGN=MIDDLE  ALT=\"A=d%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Therefore d = A*2. If we substitute 9.5941<BR>\n" );
document.write( "degrees for A we get that d = 9.5941*2 = 19.0982 degrees.<BR>\n" );
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document.write( "This is a principal solution.  It can be converted to radians by multiplying 19.0982<BR>\n" );
document.write( "degrees by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F180 ALIGN=MIDDLE  ALT=\"pi%2F180\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "Don't forget that sin(A) is also positive in the second quadrant.  Therefore, the angle <BR>\n" );
document.write( "170.4059 degrees is also a possible solution for A in sin(A) = 1/6. And since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+d%2F2 ALIGN=MIDDLE  ALT=\"A+=+d%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "we can write 170.4059 degrees = d/2.  Solving for d we get 340.8118 degrees.<BR>\n" );
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document.write( "Again these answers in degrees can be converted to radians by multiplying by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F180 ALIGN=MIDDLE  ALT=\"pi%2F180\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "Hopefully this gives you a clue as to how to work this problem.    </SPAN>\n" );
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