document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1152857>Question 1152857</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let tan(A)=1/3 where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3CA%3Cpi%2F2 ALIGN=MIDDLE  ALT=\"0%3CA%3Cpi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a) Show that 4A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%5E-1%2824%2F7%29 ALIGN=MIDDLE  ALT=\"tan%5E-1%2824%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b) Given that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3CA%3Cpi%2F2 ALIGN=MIDDLE  ALT=\"0%3CA%3Cpi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, express z = 7 + 24i in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=rcis%28theta%29 ALIGN=MIDDLE  ALT=\"rcis%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > giving all the possible values of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta ALIGN=MIDDLE  ALT=\"theta\"   DISABLED_style= \"max-width:90%; height:auto;\" > in terms of A.<BR>\n" );
document.write( "c) Hence obtain in the form a + ib, the four fourth roots of z. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #774967 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52803)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=774967\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I will answer part &nbsp;(a), &nbsp;ONLY.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "Use the formula for tan(2A)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    tan(2A) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28tan%28A%29%2Btan%28A%29%29%2F%281-tan%5E2%28A%29%29 ALIGN=MIDDLE  ALT=\"%28tan%28A%29%2Btan%28A%29%29%2F%281-tan%5E2%28A%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Atan%28A%29%29%2F%281-tan%5E2%28A%29%29 ALIGN=MIDDLE  ALT=\"%282%2Atan%28A%29%29%2F%281-tan%5E2%28A%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282%2F3%29%29%2F%28%281-%281%2F3%29%5E2%29%29 ALIGN=MIDDLE  ALT=\"%28%282%2F3%29%29%2F%28%281-%281%2F3%29%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282%2F3%29%29%2F%28%288%2F9%29%29 ALIGN=MIDDLE  ALT=\"%28%282%2F3%29%29%2F%28%288%2F9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Use the formula for tan(2A), again\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    tan(4A) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28tan%282A%29%2Btan%282A%29%29%2F%281-tan%5E2%282A%29%29 ALIGN=MIDDLE  ALT=\"%28tan%282A%29%2Btan%282A%29%29%2F%281-tan%5E2%282A%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Atan%282A%29%29%2F%281-tan%5E2%282A%29%29 ALIGN=MIDDLE  ALT=\"%282%2Atan%282A%29%29%2F%281-tan%5E2%282A%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%286%2F4%29%29%2F%28%281-%283%2F4%29%5E2%29%29 ALIGN=MIDDLE  ALT=\"%28%286%2F4%29%29%2F%28%281-%283%2F4%29%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%286%2F4%29%29%2F%28%287%2F16%29%29 ALIGN=MIDDLE  ALT=\"%28%286%2F4%29%29%2F%28%287%2F16%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2F7 ALIGN=MIDDLE  ALT=\"24%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Therefore,  4A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=arctan%2824%2F7%29 ALIGN=MIDDLE  ALT=\"arctan%2824%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r\n" );
document.write( "</PRE>\r<BR>\n" );
document.write( "\n" );
document.write( "Solved.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "/\/\/\/\/\/\/\/\/\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Hey, the rule and the policy if this forum is\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<H2>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;ONE and ONLY ONE problem/question per post.</H2>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );