
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 that $α$ is an angle in the second quadrant, simplify the expression: $\cos α \sqrt { \frac {1-\sin α}{1+ \sin α }}+\sin α \sqrt { \frac {1-\cos α}{1+ \cos α }}$.
Also, calculate the value of $\cos \frac {25π}{6}+\cos \frac {25π}{3}+\tan (- \frac {25π}{4})+\sin \frac {5π}{6}$.

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