
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 that the function $y=f(x)$ has an inverse function $y=f^{-1}(x)$, and the graph of the function $y=\tan \frac {πx}{6}-f(x)$ passes through the point $(2, \sqrt {3}- \frac {1}{3})$, the graph of the function $y=f^{-1}(x)- \frac {π}{2}$ must pass through \_\_\_\_\_\_.

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