
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 $xoy$, the parametric equation of curve $C$ is given by $ \begin{cases} x=5\cos \theta \\ y=4\sin \theta \end{cases} (\theta \text{ is the parameter})$, find the coordinates of the midpoint of the line segment intercepted by the curve $C$ and the line $l$ passing through the point $(3,0)$ with a slope of $\frac{4}{5}$.

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