
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 parametric equations of a semicircle $C$ as $x=\cos a, y=1+\sin a$, where $a$ is a parameter, $a\in\left[-\dfrac {\pi}{2}, \dfrac {\pi}{2}\right]$.
(I) Find the polar equation of the semicircle $C$ in the rectangular coordinate system $xOy$ with the coordinate origin as the pole and the non-negative half of the $x$-axis as the polar axis.
(II) Under the conditions of (I), let $T$ be a point on the semicircle $C$ with $OT=\sqrt{3}$. Write the polar coordinates of the point $T$.

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