document.write( "Question 966066: Hello,
\n" ); document.write( "I need some help with a trig equation that wants me to find the solution for tan^2x+secx = 1 (0< x< 360)(<= less than or equal to). I got 0 degrees and 360 degrees, but I don't know the other answers.Any help would be greatly appreciated.Thanks!\r
\n" ); document.write( "\n" ); document.write( "K. Legters
\n" ); document.write( "

Algebra.Com's Answer #590485 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
find the solution for tan^2x+secx = 1 [0< x< 360)
\n" ); document.write( "\"tan%5E2%28x%29%2Bsecx=1\"
\n" ); document.write( "\"%28sin%5E2%28x%29%2Fcos%5E2%28x%29%29%2B%281%2Fcosx%29=1\"
\n" ); document.write( "lcd: cos^2(x)
\n" ); document.write( "\"%28sin%5E2%28x%29%29%2B%28cosx%29=cos%5E2%28x%29\"
\n" ); document.write( "\"%281-cos%5E2%28x%29%29%2B%28cosx%29=cos%5E2%28x%29\"
\n" ); document.write( "2cos^2(x)-cosx-1=0
\n" ); document.write( "(2cosx+1)(cosx-1)=0
\n" ); document.write( "cosx=-1/2
\n" ); document.write( "x=120˚, 240˚(In quadrants II and III where cos < 0
\n" ); document.write( "or cosx=1
\n" ); document.write( "x=0
\n" ); document.write( "
\n" );