If \( f(\theta)=|\sin \theta+1|+|\sin \theta-2|+|\sin \theta-1|+|\s...

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If \( f(\theta)=|\sin \theta+1|+|\sin \theta-2|+|\sin \theta-1|+|\sin \theta-3| \)
\( \mathrm{P} \)
where \( 0 \leq \theta \leq 2 \pi \), then the sum of maximum and
W
minimum value of \( f(\theta) \) is
(1) -4
(2) 4
(3) 14
(4) -14
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