
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given $f(x) = \cos x (m\sin x - \cos x) + \sin^2(\pi + x)$ ($m > 0$), the minimum value of $f(x)$ is $-2$.
(Ⅰ) Find the interval of monotonic increase for the function $f(x)$;
(Ⅱ) In $\triangle ABC$, with the opposite sides of internal angles $A$, $B$, $C$ being $a$, $b$, $c$ respectively, and $b\cos A = 2c\cos A - a\cos B$, find the range of values for $f(C)$.

Present the answer in LaTex format: \boxed{Your answer}
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