
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 the function $f(x)=\sin ( \frac {1}{2}x+ \frac {π}{4})$, find the interval(s) where the function is monotonically increasing in the domain $[-2π,2π]$;
(2) Calculate: $\tan 70 ^{\circ} \cos 10 ^{\circ} ( \sqrt {3}\tan 20 ^{\circ} -1)$.

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