document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=80152>Question 80152</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use factoring, the quadratic formula or identities to solve sec^2x+tanx=1. find all solutions on the interval [0,2pi). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #57515 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=57515\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> use factoring, the quadratic formula or identities to solve sec^2x+tanx=1. find all solutions on the interval [0,2pi).<BR>\n" );
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document.write( "sec^2=tan^2+1<BR>\n" );
document.write( "Your Problem:<BR>\n" );
document.write( "tan^2+1+tanx+=1<BR>\n" );
document.write( "tan^2+tanx-1=0<BR>\n" );
document.write( "Use the Quadratic formula to get:<BR>\n" );
document.write( "tanx = [1+-sqrt(1-4*1*-1)]/2<BR>\n" );
document.write( "tanx = [1+sqrt5]/2 or tanx=[1-sqrt5]/2<BR>\n" );
document.write( "x=58.28 degrees or x=58.28+180 degrees<BR>\n" );
document.write( "x=-31.72 degrees or x=-31.72 + 180 degrees<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );