document.write( "Question 873174: For all values of x in the interval 0 is less than or equal to x which is less than or equal to 360 that satisfy the equation 4cos^2x-5sinx-5=0. Express your answer to the nearest tenth of a degree. \n" ); document.write( "
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For all values of x in the interval 0 is less than or equal to x which is less than or equal to 360 that satisfy the equation 4cos^2x-5sinx-5=0. Express your answer to the nearest tenth of a degree.
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\n" ); document.write( "For interval: 0 ≤ x ≤ 360˚
\n" ); document.write( "4cos^2x-5sinx-5=0
\n" ); document.write( "4(1-sin^2x)-5sinx-5=0
\n" ); document.write( "4-4sin^2x-5sinx-5=0
\n" ); document.write( "-4sin^2x-5sinx-1=0
\n" ); document.write( "4sin^2x+5sinx+1=0
\n" ); document.write( "(4sinx+1)(sinx+1)=0
\n" ); document.write( "..
\n" ); document.write( "4sinx+1=0
\n" ); document.write( "sinx=-1/4
\n" ); document.write( "x=194.5˚,345.5˚
\n" ); document.write( "..
\n" ); document.write( "sinx+1=0
\n" ); document.write( "sinx=-1
\n" ); document.write( "x=180˚\r
\n" ); document.write( "
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