Prove the following identities: `sin^4A-cos^6A=sin^2A-cos^2A=2sin^2A-1=1-2cos^2A`

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==== QUESTION TEXT ====

Prove the following identities: `sin^4A-cos^4A=sin^2A-cos^2A=2sin^2A-1=1-2cos^2A`

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