
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 the curve parametrized by 
$$
\begin{cases}
x=3\cos\theta \\
y=4\sin\theta
\end{cases}
$$
(with $\theta$ as the parameter, $0\leq\theta\leq\pi$), there is a point $P$ on the curve, and the origin is $O$. The angle of inclination of the line $OP$ is $\dfrac{\pi}{4}$. Find the coordinates of point $P$.

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