document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=691911>Question 691911</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation for exact solutions over the interval (0 degrees, 360 degrees). Give all solutions.\r<BR>\n" );
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document.write( "4 cos2theta = 8 sin-theta cos-theta </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #426941 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=426941\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the equation for exact solutions over the interval (0 degrees, 360 degrees). Give all solutions. <BR>\n" );
document.write( "4 cos2theta = 8 sin-theta cos-theta<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Use x for theta<BR>\n" );
document.write( "4 cos2x = 8 sinx cosx<BR>\n" );
document.write( "divide by 4<BR>\n" );
document.write( "cos2x =2 sinx cosx<BR>\n" );
document.write( "cos2x =sin2x<BR>\n" );
document.write( "divide both sides by cos2x<BR>\n" );
document.write( "sin2x/cos2x=1<BR>\n" );
document.write( "tan2x=1<BR>\n" );
document.write( "2x=45º, 225º (in quadrants I and III where tan>0)<BR>\n" );
document.write( "x=22.5º, 112.5º </SPAN>\n" );
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