document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1148433>Question 1148433</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all solutions to the equation below in the interval [0,2pi)<BR>\n" );
document.write( "Give all answers as decimals rounded to 3 places.\r<BR>\n" );
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document.write( "-2sin^2(a)-cos(a)=-1<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 #769787 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=769787\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "A couple of basics for solving trigonometric equations....<br><BR>\n" );
document.write( "(1) Unless you have a LOT of experience, replace csc(x) with 1/sin(x), sec(x) with 1/cos(x), and cot(x) with 1/tan(x).  You might further choose to replace tan(x) with sin(x)/cos(x).<br><BR>\n" );
document.write( "(2) If the equation involves sin(x) and cos^2(x), replace the cos^2(x) with 1-sin^2(x) to get the equation in terms of sin(x) only; similarly if it involves cos(x) and sin^2(x), replace the sin^2(x) with 1-cos^2(x) to get the equation in terms of cos(x) only.<br><BR>\n" );
document.write( "In this example, (1) is not applicable; (2) is the key.  The resulting quadratic factors nicely, making it easy to find the solution set.<br><BR>\n" );
document.write( "If you need more help with this, re-post the question, SHOWING THE WORK you have tried to do. </SPAN>\n" );
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