
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 monotonic increasing interval of the function $y=\cos \left( \frac {\pi}{3}-x\right)$ is $\left[ - \frac {2\pi}{3}+2k\pi, \frac {\pi}{3}+2k\pi\right](k\in\mathbb{Z})$.

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