
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
(Ⅰ) Given that angle α is in the second quadrant, simplify $$\cos\alpha \sqrt{\frac{1-\sin\alpha}{1+\sin\alpha}} + \sin\alpha \sqrt{\frac{1-\cos\alpha}{1+\cos\alpha}}$$.
(Ⅱ) Calculate $$\cos\left(\frac{25\pi}{6}\right) + \cos\left(\frac{25\pi}{3}\right) + \tan\left(-\frac{25\pi}{4}\right) + \sin\left(\frac{5\pi}{6}\right)$$.

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