Sec4A-1/Sec2A+1=Tan4A/TanA
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Step-by-step explanation:
LHS
sec4A -1 / sec2A-1
= 1/ cos4A - 1 / 1/cos2A -1
= (1- cos4A ) . cos2A / cos4A (1- cos2A )
= 2 sin2 2A . cos2A / cos4A . 2 sin2 A
= 2 sin2A cos2A . sin2A / cos4A . 2sin2 A
= sin4A . 2 sinA cosA / cos4A . 2 sin2 A
= tan4A / tanA = RHS
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