document.write( "Question 1058897: Solve cos(x/2)=-sinx on the interval 0 to 2pi \n" ); document.write( "
Algebra.Com's Answer #673989 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Solve cos(x/2)=-sinx on the interval 0 to 2pi \n" ); document.write( "-------- \n" ); document.write( "cos(x/2) = -2sin(x/2)*cos(x/2) \n" ); document.write( "cos(x/2) + 2sin(x/2)*cos(x/2) = 0 \n" ); document.write( "cos(x/2)*(1 + 2sin(x/2)) = 0 \n" ); document.write( "--- \n" ); document.write( "cos(x/2) = 0 \n" ); document.write( "x/2 = pi/2, 3pi/2 \n" ); document.write( "--> x = pi \n" ); document.write( "======================= \n" ); document.write( "1 + 2sin(x/2) = 0 \n" ); document.write( "2sin(x/2) = -1 \n" ); document.write( "sin(x/2) = -1/2 \n" ); document.write( "x/2 = 7pi/6, 11pi/6 \n" ); document.write( "--> x > 2pi\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |