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Prove the following identities: sin^4A+...

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

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To prove the identity \( \sin^4 A + \cos^4 A = 1 - 2 \sin^2 A \cos^2 A \), we will start from the left-hand side and manipulate it to reach the right-hand side. ### Step-by-Step Solution: 1. **Start with the left-hand side:** \[ \sin^4 A + \cos^4 A \] ...
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