Question

Prove that sin⁴ A-cos⁴A = 2sin² A - 1.
plz tell the answer! ​

Answer 1

Answer:

How to prove 2 sin^2 A + cos^4 A = 1 + sin^4 A?

LHS = 2 sin^2A + cos^4 A

= 2 sin^2 A + (cos^2 A)^2

= 2 sin^2 A + (1 - sin^2 A)^2

= 2 sin^2 A + 1 - 2sin^2 A + sin^4A

= 1 + sin^4 A

= RHS.

Proved.

Step-by-step explanation:

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