
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
In triangle $ABC$, if $\angle A > \angle B$, which of the following inequalities is incorrect?
1. $\sin\angle A > \sin\angle B$
2. $\cos\angle A < \cos\angle B$
3. $\sin^2\angle A > \sin^2\angle B$
4. $\cos^2\angle A < \cos^2\angle B$
Identify the correct sequence number(s).

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