document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=825715>Question 825715</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If sin&#952;= 4/5 and &#952; terminates in Quadrant II, find the exact value of sin2&#952;.<BR>\n" );
document.write( "F. -24/25<BR>\n" );
document.write( "G. 8/5 (I chose this one and it was wrong)<BR>\n" );
document.write( "H.-12/25<BR>\n" );
document.write( "J. 24/25<BR>\n" );
document.write( "Sorry I found the typo I submitted in one of my previous questions. So sorry about that. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #497536 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=497536\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm going to use x in place of &#952;\r<BR>\n" );
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document.write( "sin(x) = 4/5\r<BR>\n" );
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document.write( "sin^2(x) = 16/25 ... square both sides\r<BR>\n" );
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document.write( "-------------------------------------------------------\r<BR>\n" );
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document.write( "sin^2(x) + cos^2(x) = 1\r<BR>\n" );
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document.write( "16/25 + cos^2(x) = 1\r<BR>\n" );
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document.write( "cos^2(x) = 1 - 16/25\r<BR>\n" );
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document.write( "cos^2(x) = 25/25 - 16/25\r<BR>\n" );
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document.write( "cos^2(x) = (25 - 16)/25\r<BR>\n" );
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document.write( "cos^2(x) = 9/25\r<BR>\n" );
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document.write( "cos(x) = -sqrt(9/25) ... we are in quadrant II, so cos(x) < 0\r<BR>\n" );
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document.write( "cos(x) = -3/5\r<BR>\n" );
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document.write( "--------------------------------------------------------\r<BR>\n" );
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document.write( "sin(2x) = 2*sin(x)*cos(x)\r<BR>\n" );
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document.write( "sin(2x) = 2*(4/5)*(-3/5)\r<BR>\n" );
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document.write( "sin(2x) = (2/1)*(4/5)*(-3/5)\r<BR>\n" );
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document.write( "sin(2x) = (2*4*(-3))/(1*5*5)\r<BR>\n" );
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document.write( "sin(2x) = -24/25\r<BR>\n" );
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document.write( "Final Answer: sin(2x) = <font color=\"red\">-24/25</font> </SPAN>\n" );
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