
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
Given \( a = -\frac{35}{6}\pi \), calculate the value of \(\frac{2\sin(\pi+a)\cos(\pi-a)-\cos(\pi+a)}{1+\sin^2a+\sin(\pi-a)-\cos^2(\pi+a)}\).

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