
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 the following four propositions:
① The graph of the function $y = \sin(2x - \frac{\pi}{2})$ can be obtained by shifting the graph of $y = \sin 2x$ to the right by $\frac{\pi}{2}$ units;
② The number of zeros of the function $y = \log x - \sin 2x$ is 5;
③ In an acute-angled triangle $\triangle ABC$, $\sin A + \sin B + \sin C > \cos A + \cos B + \cos C$;
④ "The geometric sequence $\{a_n\}$ is an increasing sequence" is a sufficient but not necessary condition for "the common ratio $q > 1$".

Among these, the correct propositions are ______.

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