
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
(1) Given $f(x)= \sqrt { \frac {1-x}{1+x}}$, where $α∈( \frac {π}{2},π)$, find $f(\cos α)+f(-\cos α)$;
(2) Evaluate: $\sin 50^{\circ}(1+ \sqrt {3}\tan 10^{\circ})$.

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