document.write( "Question 960693: 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.)
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document.write( "4 cos2 θ + 5 sin θ − 1 = 0 \n" );
document.write( "
Algebra.Com's Answer #587103 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 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 cos^2(θ) + 5 sin(θ) − 1 = 0 \n" ); document.write( "----------------- \n" ); document.write( "cos(t) = [-5 +- sqrt(25-4*4*-1)]/8 \n" ); document.write( "--- \n" ); document.write( "cos(t) = [-5 +- sqrt(41)]/8 \n" ); document.write( "---- \n" ); document.write( "cos(t) = [-5+sqrt(41)]/8 or cos(t) = [-5-sqrt(41)]/8 \n" ); document.write( "----- \n" ); document.write( "cos(t) = 0.1754 or cos(t) = -1.4254 (extraneous) \n" ); document.write( "---- \n" ); document.write( "t = arccos(0.1754) = 79.9 degrees or 439.9 degrees \n" ); document.write( "------------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------- \n" ); document.write( "---- \n" ); document.write( " \n" ); document.write( " |