document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=752005>Question 752005</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the exact value of cos 2A and sin 2A given sin A = 12/13, A is in quadrant I </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #457535 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=457535\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the exact value of cos 2A and sin 2A given sin A = 12/13, A is in quadrant I\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28A%29=12%2F13 ALIGN=MIDDLE  ALT=\"sin%28A%29=12%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28A%29=5%2F13 ALIGN=MIDDLE  ALT=\"cos%28A%29=5%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( working with 5-12-13 right triangle)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%282A%29=2sin%28A%29cos%28A%29=2%2A12%2F13%2A5%2F13=120%2F169 ALIGN=MIDDLE  ALT=\"sin%282A%29=2sin%28A%29cos%28A%29=2%2A12%2F13%2A5%2F13=120%2F169\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%282A%29=cos%5E2%28A%29-sin%5E2%28A%29=25%2F169-144%2F169=-119%2F169 ALIGN=MIDDLE  ALT=\"cos%282A%29=cos%5E2%28A%29-sin%5E2%28A%29=25%2F169-144%2F169=-119%2F169\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "Check with calculator:<BR>\n" );
document.write( "sin(A)=12/13 (in Q1)<BR>\n" );
document.write( "A=67.38º<BR>\n" );
document.write( "2A=134.76<BR>\n" );
document.write( "sin(2A)=sin(134.76º)&#8776;0.71<BR>\n" );
document.write( "exact value=120/169&#8776;0.71<BR>\n" );
document.write( "cos(2A)=cos(134.76º)&#8776;-0.704<BR>\n" );
document.write( "exact value=119/169&#8776;-0.704 </SPAN>\n" );
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