
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 the expression: $f(\alpha) = \frac{\sin(\alpha+ \frac{3}{2}\pi)\sin(-\alpha+\pi)\cos(\alpha+ \frac{\pi}{2})}{\cos(-\alpha -\pi)\cos(\alpha - \frac{\pi}{2})\tan(\alpha +\pi)}$  
(2) Calculate the value of: $\tan675^\circ + \sin(-330^\circ) + \cos960^\circ$.

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