
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
If $\cos\left( \frac {\pi}{2}-\alpha \right) = \frac { \sqrt {2}}{3}$, then find the value of $\cos(\pi-2\alpha)$.

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