
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 hyperbola $$\frac {x^{2}}{a^{2}}- \frac {y^{2}}{b^{2}}=1(b＞a＞0)$$ with semi-focal distance $c$, and a line $l$ passing through the points $(a,0)$ and $(0,b)$. It is known that the distance from the origin to the line $l$ is $$\frac { \sqrt {3}}{4}c$$. Find the eccentricity of the hyperbola.

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