
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 $$f(\alpha)= \frac {\sin(\pi-\alpha)\cos(2\pi-\alpha)\tan(\pi+\alpha)}{\tan(-\pi -\alpha )\sin(-\pi -\alpha )}$$.
1. Simplify $f(\alpha)$.
2. If $$\alpha=- \frac {31\pi}{3}$$, find the value of $f(\alpha)$.

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