
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: $\dfrac {\cos (\theta+\pi)\times\sin ^{2}(\theta+3\pi)}{\tan (\theta +4\pi )\times \tan (\pi +\theta )\times \cos ^{3}(-\pi -\theta )}$

(2) Evaluate: $\dfrac { \sqrt {1-2\sin 10 ^{\circ} \cos 10 ^{\circ} }}{\cos 10 ^{\circ} - \sqrt {1-\cos ^{2}170 ^{\circ} }}$

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