
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 an angle $α$ with its vertex at the origin, its initial side coinciding with the non-negative half-axis of the $x$-axis, and its terminal side passing through point $P(-3, \sqrt{3})$.

(Ⅰ) Calculate the value of $\dfrac{\tan(-α) + \sin(\dfrac{π}{2} + α)}{\cos(π - α)\sin(-π - α)}$:

(Ⅱ) Calculate the value of $\tan 2α$.

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