document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=832147>Question 832147</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all solutions in the interval [0, 2pi) <BR>\n" );
document.write( "Sec^2x•tanx= 2tanx </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #501868 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=501868\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sec^2(x) * tan(x) = 2*tan(x)\r<BR>\n" );
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document.write( "sec^2(x) * tan(x) - 2*tan(x) = 0\r<BR>\n" );
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document.write( "tan(x)( sec^2(x) - 2 ) = 0\r<BR>\n" );
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document.write( "tan(x) = 0 or sec^2(x) - 2 = 0\r<BR>\n" );
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document.write( "tan(x) = 0 or sec^2(x) = 2\r<BR>\n" );
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document.write( "tan(x) = 0 or sec(x) = sqrt(2) or sec(x) = -sqrt(2)\r<BR>\n" );
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document.write( "Solve each equation for x\r<BR>\n" );
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document.write( "tan(x) = 0\r<BR>\n" );
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document.write( "x = arctan(0)\r<BR>\n" );
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document.write( "x = 0 or x = pi\r<BR>\n" );
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document.write( "----------------\r<BR>\n" );
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document.write( "sec(x) = sqrt(2)\r<BR>\n" );
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document.write( "x = arcsec(sqrt(2))\r<BR>\n" );
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document.write( "x = pi/4 or x = 7pi/4\r<BR>\n" );
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document.write( "----------------\r<BR>\n" );
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document.write( "sec(x) = -sqrt(2)\r<BR>\n" );
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document.write( "x = arcsec(-sqrt(2))\r<BR>\n" );
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document.write( "x = 3pi/4 or x = 5pi/4\r<BR>\n" );
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document.write( "The 6 solutions in the interval [0, 2pi) are...<BR>\n" );
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document.write( "x = 0,<BR>\n" );
document.write( "x = pi,<BR>\n" );
document.write( "x = pi/4,<BR>\n" );
document.write( "x = 7pi/4,<BR>\n" );
document.write( "x = 3pi/4,<BR>\n" );
document.write( "x = 5pi/4<BR>\n" );
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