Prove the identity: tanx / secx + 1 = secx - 1 / tanxShow all steps so that Left Side = Right Side

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embizze eNotes educator| Certified Educator

Show `(tanx)/(secx+1)=(secx-1)/tanx` :


`=tanx/(secx+1)*(secx-1)/(secx-1)`  Multiplying by 1


`=(tanx(secx-1))/(tan^2x)`  Pythagorean identity

`=(secx-1)/tanx` as required.



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