
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 $\tan ( \frac {π}{4}+x)=- \frac {1}{2}$, find the value of $\tan 2x$ (Part 1) and simplify the trigonometric expression $\sqrt { \frac {1+\sin x}{1-\sin x}}+ \sqrt { \frac {1-\sin x}{1+\sin x}}$ if $x$ is an angle in the second quadrant. Then, find its value (Part 2).

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