document.write( "Question 843806: Find the solutions of the equation that are in the interval [0, 2pi).\r
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document.write( "cos u + cos 2u = 0 \n" );
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Algebra.Com's Answer #508391 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Find the solutions of the equation that are in the interval [0, 2pi). \n" ); document.write( "cos u + cos 2u = 0 \n" ); document.write( "cosu+cos^2u-sin^2u=0 \n" ); document.write( "cosu+cos^2u-(1-cos^2u)=0 \n" ); document.write( "cosu+cos^2u-1+cos^2u=0 \n" ); document.write( "2cos^2u+cosu-1=0 \n" ); document.write( "(2cosu-1)(cosu+1)=0 \n" ); document.write( "cosu=1/2 \n" ); document.write( "u=π/3,5π/3 \n" ); document.write( "or \n" ); document.write( "cosu=-1 \n" ); document.write( "u=π \n" ); document.write( "solutions: π/3, 5π/3, π \n" ); document.write( " |