
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: $$\frac { \sqrt {1-2\sin20 ° \cos20 ° }}{\sin160 ° - \sqrt {1-\sin^{2}20 ° }}$$;
(2) Given that $\tan\alpha= \frac {1}{3}$, find the value of $$\frac {1}{4\cos^{2}\alpha -6\sin\alpha \cos\alpha }$$.

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