
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 that $\alpha$ is an angle in the third quadrant, determine the value of $y= \frac{\left|\left.\sin \frac{\alpha}{2} \right.\right|}{\sin \frac{\alpha}{2}} + \frac{\left|\left.\cos \frac{\alpha}{2} \right.\right|}{\cos \frac{\alpha}{2}}$.

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