
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
Calculate:
(1) $\sin\left(-\frac{14}{3}\pi\right) + \cos\left(\frac{20}{3}\pi\right) + \tan\left(-\frac{53}{6}\pi\right)$
(2) $\tan(675^\circ) - \sin(-330^\circ) - \cos(960^\circ)$.

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