
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) $\dfrac {\sin ^{2}(α+π)\cos (π+α)\cos (-α-2π)}{\tan (π +α )\sin ^{3}( \dfrac {π}{2}+α )\sin (-α -2π )}$;

(2) $\dfrac { \sqrt {1+2\sin 20 ^{\circ} \cos 160 ^{\circ} }}{\sin 160 ^\circ - \sqrt {1-\sin ^{2}20 ^{\circ} }}$.

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