You can put this solution on YOUR website! verify the identity cosx/1+sinx + cosx/1-sin x=2secx
cosx/1+sinx + cosx/1-sin x=2secx
Multiply by (1-sin^2)
cos*(1-sin) + cos*(1+sin) = 2sec*(1-sin^2)
2cos = 2sec(1-sin^2)
cos = sec - sec*sin^2
Multiply by cos
cos^2 = 1 - sin^2
sin^2 + cos^2 = 1
That's proof for me.