
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 points $A(\cos α, 0)$, $B(0, \sin α)$, $C(\cos β, \sin β)$, and $O$ as the origin, with $\overrightarrow{AB}$ parallel to $\overrightarrow{OC}$, and $0 < α < β < π$.
1. Find the value of $(α + β)$.
2. Simplify the expression $\frac{(1 + \sin α - \cos β)(\sin \frac{α}{2} - \sin \frac{β}{2})}{\sqrt{2 + 2\cos α}}$.

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