Find all values of $x$ with $0 \le x < 2 \pi$ that satisfy $\sin x + \cos x = \sqrt{2}.$  Enter all the solutions, separated by commas.
Question:
Find all values of $x$ with $0 \le x < 2 \pi$ that satisfy $\sin x + \cos x = \sqrt{2}.$  Enter all the solutions, separated by commas.
Answer:
Let's think step by step.

user
\frac{\pi}{4}
Find all values of $x$ with $0 \le x < 2 \pi$ that satisfy $\sin x + \cos x = \sqrt{2}.$  Enter all the solutions, separated by commas.
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