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Prove that (i) (sec 8A -1)/(sec 4A -1)...

Prove that
(i) `(sec 8A -1)/(sec 4A -1) =(tan 8A)/(tan 2A)`
(ii) `(cos A+ sin A)/(cos A - sin A)-(cos A-sin A)/(cos A+sin A)=2 tan 2A`

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