
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 $\alpha$ is an angle in the second quadrant, simplify $$\frac { \sqrt {1+2\sin(5\pi-\alpha)\cos(\alpha-\pi)}}{\sin\left(\alpha - \frac {3}{2}\pi \right)- \sqrt {1-\sin^{2}\left( \frac {3}{2}\pi+\alpha\right)}}.$$

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