
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. Simplify $$\frac {1+\sin x}{\cos x} \cdot \frac {\sin 2x}{2\cos^{2}\left( \frac {\pi}{4}- \frac {x}{2}\right)}$$,
2. If the area of a sector is 1 and its perimeter is 4, what is the radian measure of its central angle?

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