Let `A=sinx+cosxdot` Then find the value of `sin^4x+cos^4x` in terms of `Adot`

Explanation

To find the value of \( \sin^4 x + \cos^4 x \) in terms of \( A \), where \( A = \sin x + \cos x \), we can follow these steps:

### Step 1: Express \( A \) in terms of \( \sin^2 x \) and \( \cos^2 x \)
Given:
\[ A = \sin x + \cos x \]
We can square both sides:
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