document.write( "Question 1056628: Please help me solve this question: Find all solutions for 2/3Sin^2-cosx=1 on the interval (0,2pi) \n" ); document.write( "
Algebra.Com's Answer #671706 by stanbon(75887) ![]() You can put this solution on YOUR website! Find all solutions for (2/3)Sin^2-cosx=1 on the interval (0,2pi) \n" ); document.write( "-------------------------- \n" ); document.write( "(2/3)(1-cos^2(x)) - cos(x) = 1 \n" ); document.write( "------- \n" ); document.write( "(2/3) - (2/3)cos^2(x) - cos(x) = 1 \n" ); document.write( "--------------------------------------- \n" ); document.write( "2 - 2cos^2(x) - 3cos(x) = 3 \n" ); document.write( "------------------------------------------ \n" ); document.write( "2cos^2(x) + 3cos(x) + 1 = 0 \n" ); document.write( "-------------------------------------- \n" ); document.write( "(2cos(x) + 1)(cos(x)+1) = 0 \n" ); document.write( "---- \n" ); document.write( "cos(x) = -1/2 Or cos(x) = -1 \n" ); document.write( "------------------------------------- \n" ); document.write( "x = (2/3)pi or x = (4/3)pi or x = pi \n" ); document.write( "---------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "-------------------------------- \n" ); document.write( " \n" ); document.write( " |