Find the range of: $| sin x | + | cos x |$

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Solution

Graphs of $| sin x |, | cos x |, | sin x | + | cos x |$
$\Rightarrow$ sum goes tron $(1 + 0)$ to $(\frac{1}{\sqrt{2}} + \frac{1}{\sqrt{2}})$
$\Rightarrow$ Sum goes tron $1$ to $\sqrt{2}$

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