document.write( "Question 972559: 7cos theta + 1 = 6sec theta\r
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document.write( "Find, to the nearest degree, all values of theta in the interval 0 < theta < 360 which satisfy the equation. Urgent please help!! \n" );
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Algebra.Com's Answer #594860 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! 7cos theta + 1 = 6sec theta \n" ); document.write( "Find, to the nearest degree, all values of theta in the interval 0 < theta < 360 which satisfy the equation. \n" ); document.write( "*** \n" ); document.write( "7cosx+1=6secx \n" ); document.write( "7cosx+1=6/cosx \n" ); document.write( "lcd:cosx \n" ); document.write( "7cos^2(x)+cosx=6 \n" ); document.write( "7cos^2(x)+cosx-6=0 \n" ); document.write( "(7cosx-6)(cosx+1)=0 \n" ); document.write( ".. \n" ); document.write( "7cosx-6=0 \n" ); document.write( "7cosx=6 \n" ); document.write( "cosx=6/7 \n" ); document.write( "x≈31˚, 329˚ \n" ); document.write( "or \n" ); document.write( "cosx+1=0 \n" ); document.write( "cosx=-1 \n" ); document.write( "x=180˚ \n" ); document.write( " |