document.write( "Question 705723: Solve 2sin x - cos^2 x = 2 ober the domain 0 < x < 2pie \n" ); document.write( "
Algebra.Com's Answer #434736 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Solve \n" ); document.write( "2sin x - cos^2 x = 2 over the domain 0 < x < 2pie\r \n" ); document.write( "\n" ); document.write( "----- \n" ); document.write( "2sin(x) - (1-sin^2(x)) = 2 \n" ); document.write( "--- \n" ); document.write( "sin^2(x) + 2sin(x) -3 = 0 \n" ); document.write( "------ \n" ); document.write( "Factor: \n" ); document.write( "(sin(x)+3)(sin(x)-1) = 0 \n" ); document.write( "--- \n" ); document.write( "sin(x) = -3 or sin(x)= 1 \n" ); document.write( "--- \n" ); document.write( "x is extraneous in sin(x) = -3 \n" ); document.write( "---------------------------------- \n" ); document.write( "x = pi/2 in sin(x) = 1 \n" ); document.write( "========================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |