document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=810475>Question 810475</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find sin (2x), cos (2x), and tan (2x) from the given information. \r<BR>\n" );
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document.write( "tan (x) = 1/2\r<BR>\n" );
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document.write( "x in quadrant 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #488340 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=488340\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find sin (2x), cos (2x), and tan (2x) from the given information.<BR>\n" );
document.write( "tan (x) = 1/2, x in quadrant I<BR>\n" );
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document.write( "Hypotenuse of reference right triangle in quadrant I=&#8730;(1^2+2^2)=&#8730;5<BR>\n" );
document.write( "sinx=1/&#8730;5<BR>\n" );
document.write( "cosx=2/&#8730;5<BR>\n" );
document.write( "tanx=1/2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "sin(2x)=2sinxcosx=2*1/&#8730;5*2/&#8730;5=4/5<BR>\n" );
document.write( "cos(2x)=cos^2x-sin^2x=4/5-1/5=3/5<BR>\n" );
document.write( "tan(2x)=(2tanx)/(1-tan^2x)=1/(1-1/4)=1/(3/4)=4/3 </SPAN>\n" );
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