You can put this solution on YOUR website! 2sec^2x-2sec^2x*sin^2x-sin^2x-cos^2x=1
2sec^2x-2sec^2x*sin^2x-(sin^2x+cos^2x) = 1
2sec^2x-2sec^2x*sin^2x - 1 = 1
2sec^2x-2sec^2x*sin^2x = 2
sec^2x - sec^2x*sin^2x = 1
sec^2*(1 - sin^2) = 1
sec^2*cos^2 = 1
QED