
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 $\sqrt{2} \cos 20^\circ$ can be written as $\sin \phi - \cos\phi$ for some acute angle $\phi$, what is $\phi?$ (Give your answer in degrees, not radians.)

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