document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1032308>Question 1032308</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I can't figure this type of trig question; evaluate inverse trig function when the number in the parenthesis is negative.  I can get the answer when it is not negative inside the parenthesis.  Help please!  \r<BR>\n" );
document.write( "\n" );
document.write( "Example:  sin^-1 * (negative of the square root of two divided by two)\r<BR>\n" );
document.write( "\n" );
document.write( "thanks.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #648503 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=648503\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have to determine which quadrant the angle resides...I use the memory device All Students Take Calculus to mean ASTC around the quadrants...<BR>\n" );
document.write( "What that tells you that in<BR>\n" );
document.write( "Quadrant I -- all trig functions are positive<BR>\n" );
document.write( "Q II - only Sin<BR>\n" );
document.write( "Q III - only Tan<BR>\n" );
document.write( "Q IV - only Cos<BR>\n" );
document.write( "For example, find<BR>\n" );
document.write( "sin^-1 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-sqrt%282%29%2F2%29 ALIGN=MIDDLE  ALT=\"%28-sqrt%282%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...<BR>\n" );
document.write( "We know the sin of a 45 degree angle is sqrt(2)/2, and then 45 degrees becomes your reference angle...but sin is negative in the 3rd and 4th quadrants...<BR>\n" );
document.write( "Thus the angles we need are 225 and 315 degrees...<BR>\n" );
document.write( "To find all solutions, we add 360n, where n is an integer...so our answer is<BR>\n" );
document.write( "225 + 360n and 315 + 360n degrees... </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );