sec^4a-tan^4a=1+2 tan^2a-sec^2A
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sec^4A - tan^4A
(sec^2A)^2 - (tan^2A)^2
(sec^2A + tan^2A) (sec^2A - tan^2A)
because (a^2 - b^2) = (a + b) (a - b)
so, (sec^A + tan^2A).1
(1 + tan^2A + tan^2A)
(1 + 2tan^2A).
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