document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058408>Question 1058408</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I would appreciate it if someone could help with the following question:\r<BR>\n" );
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document.write( "Solve the equation for  0 degrees<=x<=360 degrees. Express your answer as an exact value. \r<BR>\n" );
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document.write( "2tanx(cosx) - 1 = 0\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #673459 by </B><A HREF=/tutors/aboutme.mpl?userid=solve_for_x><B>solve_for_x(190)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solve_for_x><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=673459\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since tan x = sin x / cos x, this equation can be rewritten as:\r<BR>\n" );
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document.write( "2(tan x)(cos x) - 1 = 0\r<BR>\n" );
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document.write( "2(sin x)(cos x)/(cos x) - 1 = 0\r<BR>\n" );
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document.write( "Canceling (cos x) from the first term leaves:\r<BR>\n" );
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document.write( "2(sin x) - 1 = 0\r<BR>\n" );
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document.write( "2(sin x) = 1\r<BR>\n" );
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document.write( "sin x = 1/2\r<BR>\n" );
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document.write( "x = arcsin(1/2)\r<BR>\n" );
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document.write( "<strong>x = 30 degrees, 150 degrees</strong>\r<BR>\n" );
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