Prove the followings : `sin^6A+cos^6A+3sin^2A cos^2A= 1`

Explanation

To prove the identity \( \sin^6 A + \cos^6 A + 3 \sin^2 A \cos^2 A = 1 \), we can follow these steps:

### Step 1: Rewrite the expression
We start with the left-hand side of the equation:
\[ \sin^6 A + \cos^6 A + 3 \sin^2 A \cos^2 A \]

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