
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
What values can the expression \( x + y + z \) take if \(\sin x = \cos y\), \(\sin y = \cos z\), \(\sin z = \cos x\) and \(0 \leq x, y, z \leq \frac{\pi}{2}\)?

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