
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 function $f(x)=2\sin ( \frac {x}{3}-φ)(0 < φ < \frac {π}{2})$ whose graph passes through the point $(0,-1)$.
(1) Find the equation of the axis of symmetry and the distance $d$ between two adjacent axes of symmetry.
(2) Let $α$, $β∈[0, \frac {π}{2}]$, $f(3α+ \frac {π}{2})= \frac {10}{13}$, $f(3β+2π)= \frac {6}{5}$, find the value of $\cos (α+β)$.

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