document.write( "Question 246382: Find all solutions of the equation in the interval [0,2π) algebraically. Sec^2 x - sec x =2\r
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document.write( "what are the steps to do this problem? how do i start? \n" );
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Algebra.Com's Answer #179964 by Alan3354(69443) You can put this solution on YOUR website! Find all solutions of the equation in the interval [0,2π) algebraically. \n" ); document.write( "Sec^2 x - sec x =2 \n" ); document.write( "--------------- \n" ); document.write( "It's a quadratic in sec(x). \n" ); document.write( "sec^2 - sec - 2 = 0 \n" ); document.write( "(sec - 2)*(sec + 1) = 0 \n" ); document.write( "sec(x) = 2 \n" ); document.write( "sec(x) = -1 \n" ); document.write( "------------ \n" ); document.write( "sec(x) = 2 \n" ); document.write( "x = 60º, 120º = pi/3, 2pi/3 \n" ); document.write( "-------------------- \n" ); document.write( "sec(x) = -1 \n" ); document.write( "x = 180º = pi radians \n" ); document.write( " \n" ); document.write( " |