If \( m \) is the minimum value of \( f(x)=3 \sin x+5 \) and \( n \...

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If \( m \) is the minimum value of \( f(x)=3 \sin x+5 \) and \( n \) is the maximum value of \( g(x)=3-2 \sin x \), then \( (m+n+2) \) is equal to
\( \mathrm{P} \)
(1) 11
(2) 9
(3) 8
(4) 10
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