
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: $f(α)= \dfrac {\sin (α+ \dfrac {3}{2}π)\sin (-α+π)\cos (α+ \dfrac {π}{2})}{\cos (-α-π)\cos (α- \dfrac {π}{2})\tan (α+π)}$
2. Evaluate: $\tan 675^{\circ}+\sin (-330^{\circ})+\cos 960^{\circ}$

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