
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 that the terminal side of angle $\alpha$ passes through point $P(3,-1)$, and $\tan (\beta+ \frac {π}{4})=3$.

(I) Find the values of $\sin 2\alpha$ and $\cos 2\alpha$;

(II) Find the value of $\tan (2\alpha-\beta)$.

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