document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=228727>Question 228727</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the quotient 3(cos 5pi/12 + i sin 5pi/12) divided by 6(cos pi/12 + i sin pi/12).express the quotient 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 #169729 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=169729\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hint: Recall that if <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE z_{1}=r_{1}\left(\cos(\theta_{1})+i\sin(\theta_{1})\right)\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE z_{2}=r_{2}\left(\cos(\theta_{2})+i\sin(\theta_{2})\right)\">, then\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{z_{1}}{z_{2}}=\frac{r_{1}}{r_{2}}\left(\cos(\theta_{1}-\theta_{2})+i\sin(\theta_{1}-\theta_{2})\right)\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Basically, you're dividing the values of 'r' and subtracting the theta values. Once you have a simplified form of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{z_{1}}{z_{2}}\">, then just convert that to rectangular form. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );