
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 quadratic equation about $x$, $x^{2}+4x\sin \frac {α}{2}+m\tan \frac {α}{2}=0 (0 < α < π)$ has two equal real roots.
(1) Find the range of the real number $m$;
(2) If $m+2\cos α= \frac {4}{3}$, find the value of $\frac {1+\sin 2α-\cos 2α}{1+\tan α}$.

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