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Equations with trigonometry in them can look scary, but that's nothing that a quick little substitution can't fix.

In the interval \( [0, 20 \pi ] \), how many solutions are there to

\[ \sin \theta + \cos \theta = 1? \]

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What are the maximum and minimum values of the function \[y=\sqrt{2}\sin x-\cos x ?\]

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