document.write( "Question 960652: Solving the following equation will require you to use the quadratic formula. Solve the equation for θ between 0° and 360°, and round your answers to the nearest tenth of a degree. (Enter your answers as a comma-separated list.)
\n" ); document.write( "4 cos2 θ + 5 sin θ − 1 = 0
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #587235 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Solving the following equation will require you to use the quadratic formula. Solve the equation for θ between 0° and 360°, and round your answers to the nearest tenth of a degree. (Enter your answers as a comma-separated list.)
\n" ); document.write( "4 cos2 θ + 5 sin θ − 1 = 0
\n" ); document.write( "***
\n" ); document.write( "4 cos2 θ + 5 sin θ − 1 = 0
\n" ); document.write( "4(1-sin^2x)+5sinx-1=0
\n" ); document.write( "4-4sin^2x+5sinx-1=0
\n" ); document.write( "-4sin^2x+5sinx+3=0
\n" ); document.write( "4sin^2x-5sinx-3=0
\n" ); document.write( "let u=sinx
\n" ); document.write( "sin^2x=u^2
\n" ); document.write( "..
\n" ); document.write( "4 u^2-5u-3=0
\n" ); document.write( "\"u+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "a=4, b=-5, c=-3
\n" ); document.write( "ans:
\n" ); document.write( "u=-0.443=sinx
\n" ); document.write( "sinx=-0.443
\n" ); document.write( "x=206.3˚, 333.7˚
\n" ); document.write( "or
\n" ); document.write( "u=1.693
\n" ); document.write( "sinx=1.693 (no solution)(-1 ≤ sinx ≤ 1)
\n" ); document.write( " \n" ); document.write( "
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