document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1163520>Question 1163520</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Point A = (cosθ,sinθ) is at the intersection of x2 +y2 = 1 and a ray starting at the origin that makes an angle, θ, with the positive x-axis. The ray starting at the origin through point P makes an angle of 2θ with the positive x-axis.<BR>\n" );
document.write( "(a) Explain why P = (cos 2θ, sin 2θ).<BR>\n" );
document.write( "(b) Reflect B = (1,0) over the line CA to get an equivalent<BR>\n" );
document.write( "form of the coordinates of P written 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 #854386 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53862)</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=854386\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Point A = (cosθ,sinθ) is at the intersection of x2 +y2 = 1 and a ray starting at the origin that makes an angle, θ, <BR>\n" );
document.write( "with the positive x-axis. The ray starting at the origin through point P makes an angle of 2θ with the positive x-axis.<BR>\n" );
document.write( "(a) Explain why P = (cos 2θ, sin 2θ).<BR>\n" );
document.write( "(b) Reflect B = (1,0) over the line CA to get an equivalent<BR>\n" );
document.write( "form of the coordinates of P written in terms of cos θ and sin θ.<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The author of this post mentioned/introduced point 'C' (by saying about line CA),\r<BR>\n" );
document.write( "\n" );
document.write( "but forgot to define this point (and this line).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "As a result, the posted problem is fatally defective and is only good to throw it to a garbage bin.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );