You can put this solution on YOUR website! Prove that (Tanx)/secx+1 = (secx-1)/tanx using trigonometric identities and where x is an angle.
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(Tanx)/secx+1 = (secx-1)/tanx
Cross multiply
tan^2 = sec^2 - 1
tan^2 + 1 = sec^2
I'm convinced.
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If someone can show an example where working one side only makes a difference I'd like to see it.