
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 $\begin{cases} x=2\cos \theta \\ y=\sin \theta \end{cases}$, where $\theta\in[0,2\pi)$, the minimum distance from a point $P(x,y)$ on the curve to a fixed point $M(a,0)$, $(a > 0)$, is $\dfrac {3}{4}$. Find the value of $a$.

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