document.write( "Question 663634: Use a double-angle formula to simplify the equation
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document.write( "sin(2x)+cos(x)=0,and then find all solutions of the equation that lie in the interval [0,2\pi).\r
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document.write( "If there is more than one solution, enter the solutions in a list separated by commas. If necessary, enter pi as pi. \n" );
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Algebra.Com's Answer #412865 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Use a double-angle formula to simplify the equation \n" ); document.write( "sin(2x)+cos(x)=0,and then find all solutions of the equation that lie in the interval [0,2\pi). \n" ); document.write( "If there is more than one solution, enter the solutions in a list separated by commas. \n" ); document.write( "** \n" ); document.write( "sin2x+cosx=0 \n" ); document.write( "2sinxcosx+cosx=0 \n" ); document.write( "cosx(2sinx+1)=0 \n" ); document.write( "cosx=0 \n" ); document.write( "x=π/2, 3π/2 \n" ); document.write( ".. \n" ); document.write( "2sinx+1=0 \n" ); document.write( "sinx=-1/2 \n" ); document.write( "x=7π/6, 11π/6 \n" ); document.write( ".. \n" ); document.write( "solutions:x=π/2, 3π/2, 7π/6, 11π/6 \n" ); document.write( " |