
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 plane $(xOy)$, point $P(1,4)$ is on the terminal side of angle $\alpha$. If ray $OP$ is rotated counterclockwise around the coordinate origin $O$ by an angle of $\theta(0 < \theta < \pi)$ to reach the terminal side of angle $\frac{3}{4}\pi$, then $\tan \theta=$ \_\_\_\_\_\_.

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