Question

Sec A^4-sec A^2 = tan A^4 +tan A^2

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Sec^4 A - Sec^2 A = Tan^4 A + Tan^2 A

⇒ LHS

⇒Sec^4 A - Sec^2 A

⇒Sec^2 A ( Sec^2 A - 1)

:: Sec^2 = Tan^2 + 1

⇒( Tan^2 A + 1) (Tan^2 A +1 - 1)

⇒( Tan^2 A + 1) (Tan^2 A)

⇒ Tan^4 A + Tan^2 A

⇒RHS

∴Hence proved