document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1038415>Question 1038415</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find sinX if sin2X = 2/3 with the 2x between 90 and 180 degrees. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #653133 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=653133\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> as far as i can tell, ......<BR>\n" );
document.write( "sin(2x) = 2/3<BR>\n" );
document.write( "this means that arcsin(2/3) = 2x.<BR>\n" );
document.write( "using your scientific calculator, this means that 2x = 41.8103149 degrees.<BR>\n" );
document.write( "since 2x is in the second quadrant, this means that 2x = 180 - 41.8103149 degrees.<BR>\n" );
document.write( "that makes 2x = 138.1896851 degrees.<BR>\n" );
document.write( "solve for x to get x = 69.09484255 degrees.<BR>\n" );
document.write( "if this is correct, then sin(x) = sin(69.09484255) = .934172359.\r<BR>\n" );
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