
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 $P$ is a point on the curve $C: \begin{cases} x=3\cos \theta \\ y=4\sin \theta \end{cases}$ (with $\theta$ as the parameter, $0 \leqslant \theta \leqslant \pi$), and $O$ is the origin of the coordinate system. If the slope angle of line $OP$ is $\frac{\pi}{4}$, then the coordinates of point $P$ are \_\_\_\_\_\_.

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