document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=834741>Question 834741</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if csc&#952;=4 and &#952; is in quadrant II, find the exact value of sin2&#952; </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #503213 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=503213\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  if csc&#952;=4 and &#952; is in quadrant II, find the exact value of sin2&#952;<BR>\n" );
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document.write( "With theta in QII, x is negative and y is positive.<BR>\n" );
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document.write( "Since csc = r/y, r = 4 and y = 1<BR>\n" );
document.write( "Therefore -x = -sqrt[4^2-1^2] = -sqrt(15)<BR>\n" );
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document.write( "Your Problem::<BR>\n" );
document.write( "sin(2t) = 2*sin(t)cos(t) = 2(y/r)(x/r) = 2(1/4)(-sqrt(15)/4) = -sqrt(15)/8<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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