Question

Prove that :

☞ tan⁴ A + tan² A = sec⁴ A - sec² A​

Answer 1

Answer:

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Answer 2

⚘ Prove that :

• tan⁴ A + tan² A = sec⁴ A - sec² A

L.H.S. ➺ tan⁴ A + tan² A

➺ tan² A ( tan² A + 1 )

➺ ( sec² A - 1 ) sec² A

( ∵ 1 + tan² A = sec² A )

➺ sec⁴ A - sec² A = R.H.S.

☆ Hence Proved !! ☆

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