document.write( "Question 367702: Find all solutions of the equation 3sin^2(x)−7sinx+2=0 in the interval [0,2pi) \n" ); document.write( "
Algebra.Com's Answer #262108 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Find all solutions of the equation 2sin^2(x)−cosx=1 in the interval [0,2pi) \n" ); document.write( "-------------- \n" ); document.write( "sin^2 = 1-cos^2 \n" ); document.write( "--> 2(1-cos^2) - cos - 1 = 0 \n" ); document.write( "2 - 2cos^2 - cos - 1 = 0 \n" ); document.write( "2cos^2 + cos - 1 = 0 \n" ); document.write( "Sub y for cos \n" ); document.write( "2y^2 + y - 1 = 0 \n" ); document.write( "(2y - 1)*(y + 1) = 0 \n" ); document.write( "y = cos(x) = -1 \n" ); document.write( "x = pi \n" ); document.write( "----------- \n" ); document.write( "y = cos(x) = 1/2 \n" ); document.write( "x = pi/3, 5pi/3 \n" ); document.write( " |