document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=756739>Question 756739</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please explain to me why pi/4 is not the correct answer for this question?\r<BR>\n" );
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document.write( "Sin^-1(1/sqrt root 2)<BR>\n" );
document.write( "Find Sin^-1x for the given x. Express your answer as a rational multiple of pi, ranging from pi/2 to 3pi/2.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #460416 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=460416\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The reference angle is a commonly known angle.  What is the angle which has a sine of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fsqrt%282%29 ALIGN=MIDDLE  ALT=\"1%2Fsqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >?\r<BR>\n" );
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document.write( "What you are trying to say as Sin^-1(1/sqrt root 2) is the same as arcsin(1/sqrt(2)).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fsqrt%282%29%29%2A%28sqrt%282%29%2Fsqrt%282%29%29=sqrt%282%29%2F2 ALIGN=MIDDLE  ALT=\"%281%2Fsqrt%282%29%29%2A%28sqrt%282%29%2Fsqrt%282%29%29=sqrt%282%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Your answer which you give is not wrong; it is simply incomplete.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Api%29%2F4 ALIGN=MIDDLE  ALT=\"%283%2Api%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > AND <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F4 ALIGN=MIDDLE  ALT=\"pi%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > each have this same sine.  Both are in the range specified in the question. </SPAN>\n" );
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