SOLUTION: Verify the identity (cos x)/ ( 1 + sin x) + ( cos x )/(1 - sin x) = 2 sec x Can you please help me ? Thanks so much in advance:)

Algebra ->  Trigonometry-basics -> SOLUTION: Verify the identity (cos x)/ ( 1 + sin x) + ( cos x )/(1 - sin x) = 2 sec x Can you please help me ? Thanks so much in advance:)      Log On


   

Question 870187: Verify the identity
(cos x)/ ( 1 + sin x) + ( cos x )/(1 - sin x) = 2 sec x
Can you please help me ? Thanks so much in advance:)
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
(cos x)/ ( 1 + sin x) + ( cos x )/(1 - sin x) = 2 sec x


(cos x)/ ( 1 + sin x) + ( cos x )/(1 - sin x)
(cosx(1-sinx)+cos x(1+sin x))/(1-sin^2x)
(cosx-cosx.sinx)+cos x+cosx.sin x))/(1-sin^2x)
2cosx/cos^2x
2/cos x
2sec x
proved