
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
The following statements are given:
1. Angles with different measures always have different terminal sides;
2. Angles with the same terminal side have equal values for corresponding trigonometric functions;
3. If $\cos \alpha < 0$, then $\alpha$ is an angle in the second or third quadrant;
4. For any angle $\alpha$, the equation $\frac{\sin \frac{\alpha}{2}}{\cos \frac{\alpha}{2}} = \tan \frac{\alpha}{2}$ always holds.

The incorrect statement(s) is/are __________.

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