document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1062069>Question 1062069</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me /w evaluating this expression. <BR>\n" );
document.write( "arcsin(sin(7&#960;/3))\r<BR>\n" );
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document.write( "A) 7&#960;/3<BR>\n" );
document.write( "B) &#960;/3<BR>\n" );
document.write( "C) -7&#960;/3<BR>\n" );
document.write( "D) -&#960;/3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #676841 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=676841\">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=+sin%287pi%2F3%29+=+sqrt%283%29%2F2+ ALIGN=MIDDLE  ALT=\"+sin%287pi%2F3%29+=+sqrt%283%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+arcsin%28sqrt%283%29%2F2%29+=+pi%2F3+ ALIGN=MIDDLE  ALT=\"+arcsin%28sqrt%283%29%2F2%29+=+pi%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > radians\r<BR>\n" );
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document.write( "By convention, arcsin(x) is expressed as an angle between <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-pi%2F2 ALIGN=MIDDLE  ALT=\"-pi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2Bpi%2F2 ALIGN=MIDDLE  ALT=\"%2Bpi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so as an angle in quadrants 1 or 4, where positive angles are measured counterclockwise from the positive x-axis.   Only if other information is given should the angle be expressed as being quadrant 2 or 3.   Also note that the angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+pi%2F3+ ALIGN=MIDDLE  ALT=\"+pi%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > aliases to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7pi%2F3 ALIGN=MIDDLE  ALT=\"+7pi%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > because the latter rotates <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2pi+%2B+pi%2F3+ ALIGN=MIDDLE  ALT=\"+2pi+%2B+pi%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > radians (one full circle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2pi ALIGN=MIDDLE  ALT=\"+2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > radians, but that answer does not follow the convention.    So only B looks correct. </SPAN>\n" );
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