Simplify each of the following: `sin^(-1)((sinx+cosx)/(sqrt(2)))`

Explanation

To simplify the expression \( \sin^{-1}\left(\frac{\sin x + \cos x}{\sqrt{2}}\right) \), we can follow these steps:

### Step 1: Rewrite the expression
We start with the expression:
\[ y = \sin^{-1}\left(\frac{\sin x + \cos x}{\sqrt{2}}\right) \]

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