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Answer:
taking left hand side equation
1+tan^2A/(1+secA)
using identity, 1+ tan^2A=sec^2A
so,
1+ (sec^2A-1)/(secA+1)
using identity,(a^2-b^2)=(a-b)×(a+b)
hence,
1+ (secA-1)×(secA+1)/(secA+1)
=1+ secA-1
= secA
which is equal to right hand side
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