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

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