document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=499465>Question 499465</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all angles Beta between 0 and 360 degrees that satisfy the equation sin Beta = (-0.46). Give your answers in degrees. show your solutions on a unit circle.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #339055 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=339055\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find all angles Beta between 0 and 360 degrees that satisfy the equation sin Beta = (-0.46). Give your answers in degrees. show your solutions on a unit circle.<BR>\n" );
document.write( "**<BR>\n" );
document.write( "The sin is negative in quadrants III and IV, so we must find the reference angles in these two quadrants.<BR>\n" );
document.write( "Using a calculator to find the inverse of sin(0.46):<BR>\n" );
document.write( "arcsin(.46)=27.39º<BR>\n" );
document.write( "180+27.39=207.39º<BR>\n" );
document.write( "360-27.39=332.61º<BR>\n" );
document.write( "Ans:<BR>\n" );
document.write( "207.39º and 332.61º<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Sorry, I don't have the means to draw the angles on a unit circle.<BR>\n" );
document.write( "It might help to remember that the one side of the reference angle is always the x axis, that is, it is the angle the terminal side makes with the x-axis. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );