document.write( "Question 610983: Solve algebraically for all values of theta in the interval 0 degrees is < or equal to theta which is < 360 degrees. Express your answers to the nearest degree.\r
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document.write( "2sin^2 theta-4sin theta = cos ^2 theta-2 \n" );
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Algebra.Com's Answer #384785 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Solve algebraically for all values of theta in the interval 0 degrees is < or equal to theta which is < 360 degrees. Express your answers to the nearest degree. \n" ); document.write( "2sin^2 theta-4sin theta = cos ^2 theta-2 \n" ); document.write( "** \n" ); document.write( "2sin^2x-4sinx=cos^2x-2 \n" ); document.write( "2sin^2x-4sinx=1-sin^2x-2 \n" ); document.write( "3sin^2x-4sinx+1=0 \n" ); document.write( "(3sinx-1)(sinx-1)=0 \n" ); document.write( ".. \n" ); document.write( "3sinx-1=0 \n" ); document.write( "sinx=1/3 \n" ); document.write( "x≈19º \n" ); document.write( "or \n" ); document.write( "sinx-1=0 \n" ); document.write( "sinx=1 \n" ); document.write( "x=90º \n" ); document.write( "ans: \n" ); document.write( "Theta≈19º and =90º \n" ); document.write( " |