
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, with the origin O as the pole and the positive half-axis of the x-axis as the polar axis, a polar coordinate system is established. It is known that the circle $$\rho=4\sin(\theta+ \frac {\pi}{6})$$ is intersected by the ray $\theta=\theta_0$ ($\rho\geq0$, $\theta_0$ is a constant, and $$\theta_{0}\in(0, \frac {\pi}{2})$$) to produce a chord length of $2\sqrt {3}$. Find the value of $\theta_0$.

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