document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1185531>Question 1185531</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do you use De Moivre's Theorem with n = 3 to express cos(3𝜃) and sin(3𝜃) in terms of cos(𝜃) and sin(𝜃) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #816653 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=816653\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28e%5E%28i%2Atheta%29%29%5E3+=+e%5E%283%2Ai%2Atheta%29 ALIGN=MIDDLE  ALT=\"%28e%5E%28i%2Atheta%29%29%5E3+=+e%5E%283%2Ai%2Atheta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cos%28theta%29%2Bi%2Asin%28theta%29%29%5E3+=+cos%283%2Atheta%29%2Bi%2Asin%283%2Atheta%29 ALIGN=MIDDLE  ALT=\"%28cos%28theta%29%2Bi%2Asin%28theta%29%29%5E3+=+cos%283%2Atheta%29%2Bi%2Asin%283%2Atheta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%5E3%28theta%29+%2B3%2Acos%5E2%28theta%29%2Ai%2Asin%28theta%29+%2B+3%2Acos%28theta%29%2Ai%5E2%2Asin%5E2%28theta%29%2Bi%5E3%2Asin%5E3%28theta%29++=++cos%283%2Atheta%29%2Bi%2Asin%283%2Atheta%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%5E3%28theta%29+%2B3%2Acos%5E2%28theta%29%2Ai%2Asin%28theta%29+-+3%2Acos%28theta%29%2Asin%5E2%28theta%29-i%2Asin%5E3%28theta%29++=++cos%283%2Atheta%29%2Bi%2Asin%283%2Atheta%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cos%5E3%28theta%29-+3%2Acos%28theta%29%2Asin%5E2%28theta%29%29+%2Bi%2A%283%2Acos%5E2%28theta%29%2Asin%28theta%29+-sin%5E3%28theta%29%29++=++cos%283%2Atheta%29%2Bi%2Asin%283%2Atheta%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Equate the respective real and imaginary parts from the two sides and you'll get the answer.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );