
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 an angle $θ$ with its vertex at the origin of a Cartesian coordinate system, the initial side being the non-negative half of the $x$-axis, and the terminal side passing through the point $P(2,4)$, find the value of $\tan (θ+ \dfrac {π}{4})$.

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