document.write( "Question 1004096: find all the values of x in the interval [0,2pi] that satisfy the equation (cos x)^2 + sin x-1 = 0 \n" ); document.write( "
Algebra.Com's Answer #620662 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! find all the values of x in the interval [0,2pi] that satisfy the equation \n" ); document.write( "(cos x)^2 + sin x-1 = 0 \n" ); document.write( "----- \n" ); document.write( "(1-sin^2(x)) + sin(x) - 1 = 0 \n" ); document.write( "---- \n" ); document.write( "Rearrange:: \n" ); document.write( "---------------- \n" ); document.write( "sin^2(x) - sin(x) = 0 \n" ); document.write( "-- \n" ); document.write( "Factor: \n" ); document.write( "sin(x)[sin(x)-1] = 0 \n" ); document.write( "---- \n" ); document.write( "sin(x) = 0 or sin(x) = 1 \n" ); document.write( "---- \n" ); document.write( "x = 0, or x = pi/2 \n" ); document.write( "------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------ \n" ); document.write( " \n" ); document.write( " |