
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
In the Cartesian coordinate system, the vertex of angle $\alpha$ coincides with the origin $O$, and its initial side coincides with the non-negative half-axis of the $x$-axis. A point $P(-2t,t)$ (where $t\neq 0$) lies on the terminal side of angle $\alpha$. Evaluate the value of $\tan \left(\alpha+ \frac {\pi}{4}\right)$.

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