prove sec4 A(1-sin4 A)-2tan2 A=1
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Step-by-step explanation:
LHS= sec4A(1-sin4A) - 2tan2A
= sec4A.(1-sin2A)(1+sin2A)-2tan2A
=sec4A. cos2A(1+sin2A)-2tan2A
=sec2A(1+sin2A)-2tan2A
=sec2A+sin2A.sec2A-2tan2A
=1+tan2A+tan2A-2tan2A
=1+2tan2A-2tan2A
=1
=RHS
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