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

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