
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 an isosceles triangle with base angle $α$ and vertex angle $β$, and $\cos β= \frac {3}{5}$:

(I) Find the value of $\sin α$;

(II) If the range of the function $f(x)=\tan x$ on $\[- \frac {π}{3},α\]$ is the same as the range of the function $g(x)=2\sin (2x- \frac {π}{3})$ on $\[0,m\]$, find the possible values of $m$.

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