document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=441746>Question 441746</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you write the equation sin(2theta)=tan(theta) in rectangular form? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #305088 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=305088\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do you write the equation sin(2theta)=tan(theta) in rectangular form<BR>\n" );
document.write( "..<BR>\n" );
document.write( "let theta=x<BR>\n" );
document.write( "x=rcosx<BR>\n" );
document.write( "y=rsinx<BR>\n" );
document.write( "r^2=x^2+y^2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "sin2x=tanx<BR>\n" );
document.write( "2sinxcosx=sinx/cosx<BR>\n" );
document.write( "2sinxcos^2x=sinx<BR>\n" );
document.write( "multiply both sides by r^3<BR>\n" );
document.write( "2rsinx*r^2cos^2x=r^3sinx<BR>\n" );
document.write( "2yx^2=(x^2+y^2)y<BR>\n" );
document.write( "2x^2=x^2+y^2<BR>\n" );
document.write( "y^2=x^2<BR>\n" );
document.write( "y^2-x^2=0<BR>\n" );
document.write( "(y+x)(y-x)=0<BR>\n" );
document.write( "y=-x<BR>\n" );
document.write( "or<BR>\n" );
document.write( "y=x </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );