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hope this helps..........
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Heya mate,Here is ur answer
Sec ^4 A - Sec ^2 A = Tan ^4 A + Tan^2A
Taking LHS
Sec^4 A -Sec^2 A
Taking Sec^2 A common
Sec^2 A(sec^2 A-1)
We know that
⏩1+ tan^2 A= sec^2 A
⏩tan^2 A = sec^2 A-1
So,
Sec^2 A(sec^2 A-1)
= sec^2 A× tan^2 A
= (1+ tan^2 A) tan^2 A
Now multiplying
= Tan^2 A + Tan^4A
= Tan^4 A + Tan^2 A
Hence proved
Warm regards
@Laughterqueen
Be Brainly ✌✌✌
Sec ^4 A - Sec ^2 A = Tan ^4 A + Tan^2A
Taking LHS
Sec^4 A -Sec^2 A
Taking Sec^2 A common
Sec^2 A(sec^2 A-1)
We know that
⏩1+ tan^2 A= sec^2 A
⏩tan^2 A = sec^2 A-1
So,
Sec^2 A(sec^2 A-1)
= sec^2 A× tan^2 A
= (1+ tan^2 A) tan^2 A
Now multiplying
= Tan^2 A + Tan^4A
= Tan^4 A + Tan^2 A
Hence proved
Warm regards
@Laughterqueen
Be Brainly ✌✌✌
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