document.write( "Question 799274: find the general solution of the following equation\r
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document.write( "sinx+cosx=1 \n" );
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Algebra.Com's Answer #482684 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! find the general solution of the following equation \n" ); document.write( "For:(0,90˚) \n" ); document.write( "sinx+cosx=1 \n" ); document.write( "sinx+√(1-sin^2x)=1 \n" ); document.write( "√(1-sin^2x)=1-sinx \n" ); document.write( "square both sides \n" ); document.write( "1-sin^2x=1-2sinx+sin^2x \n" ); document.write( "2sin^2x-2sinx=0 \n" ); document.write( "2sinx(2sinx-1)=0 \n" ); document.write( "2sinx=0 \n" ); document.write( "x=0 \n" ); document.write( "or \n" ); document.write( "sinx=1/2 \n" ); document.write( "x=30˚(reject, extraneous root) \n" ); document.write( " |