
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
Simplify the following expressions:
(1) $$\frac{\sin^{3}(-\alpha)\cos(5\pi+\alpha)\tan(2\pi+\alpha)}{\cos^{3}(-\alpha -2\pi)\sin(-\alpha -3\pi)\tan^{3}(\alpha -4\pi)}$$;
(2) $$\frac{\sqrt{1-2\sin10^\circ\cos10^\circ}}{\sin170^\circ - \sqrt{1-\sin^2 170^\circ}}$$.

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