The maximum value of \( 1+\sin \left(\frac{\pi}{4}+\theta\right)+2 ...

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The maximum value of \( 1+\sin \left(\frac{\pi}{4}+\theta\right)+2 \cos \left(\frac{\pi}{4}-\theta\right) \)
\( \mathrm{P} \) for real values of \( \theta \) is

W.
(a) 3
(b) 5
(c) 4
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