
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 the function $f(t) = \sqrt{\frac{1-t}{1+t}}$ and $g(x) = \cos x \cdot f(\sin x) + \sin x \cdot f(\cos x),$ where $x \in \left(\pi, \frac{17\pi}{12}\right)$.  
(Ⅰ) Simplify the function $g(x)$ to the form $A \sin(\omega x + \phi) + B$ ($A > 0, \omega > 0, \phi \in [0, 2\pi)$).  
(Ⅱ) Find the range of the function $g(x)$.

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