Let \( f(x)=2+\cos x \), for all real \( x \). Statement I For each real \( t \), there exists a...

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Let \( f(x)=2+\cos x \), for all real \( x \).
Statement I For each real \( t \), there exists a point \( c \) in \( [t, t+\pi] \) such that \( f^{\prime}(c)=0 \). Because Statement II \( f(t)=f(t+2 \pi) \) for each real \( t \).
[Assertior
(a) Statement I is correct, Statement II is also correct; Statement II is the correct explanation of Statement I
(b) Statement I is correct, Statement II is also correct; Statement II is not the correct explanation of Statement I
(c) Statement I is correct; Statement II is incorrect
(d) Statement 1 is incorrect; Statement II is correct
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