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 \( A = \sin x + \cos x \), we can follow these steps:

### Step 1: Express \( A^2 \)
Given \( A = \sin x + \cos x \), we first find \( A^2 \):

\[ A^2 = (\sin x + \cos x)^2 \]
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