document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=541148>Question 541148</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If tan&#945; =4/3 and cos&#946; = 12/13, where 0<&#946;<&#945;<90°, evaluate without using tables.<BR>\n" );
document.write( "a) sin 2&#945;<BR>\n" );
document.write( "b) tan 2&#945;<BR>\n" );
document.write( "c) cos(&#945;-&#946;) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #354094 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=354094\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f tan&#945; =4/3 and cos&#946; = 12/13, where 0<&#946;<&#945;<90°, evaluate without using tables.<BR>\n" );
document.write( "a) sin 2&#945;<BR>\n" );
document.write( "b) tan 2&#945;<BR>\n" );
document.write( "c) cos(&#945;-&#946;)<BR>\n" );
document.write( "**<BR>\n" );
document.write( "tan &#945;=4/3<BR>\n" );
document.write( "sin &#945;=4/5<BR>\n" );
document.write( "cos &#945;=3/5<BR>\n" );
document.write( "cos &#946;=12/13<BR>\n" );
document.write( "sin &#946;=5/13<BR>\n" );
document.write( "..<BR>\n" );
document.write( "a) sin 2&#945;=2sin &#945; cos &#945;=2*4/5*3/5=24/25<BR>\n" );
document.write( "b) tan 2&#945;=(2tan &#945;)/(1-tan^2&#945;)=(8/3)/(1-16/9)=(8/3)/(-7/9)=-72/21<BR>\n" );
document.write( "c) cos(&#945;-&#946;)=cos &#945; cos &#946;-sin &#945; sin &#946;=3/5*12/13-4/5*5/13=36/65-20/65=16/65\r<BR>\n" );
document.write( "\n" );
document.write( "please check my calculations </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );