
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
In the 6th century BC, the Pythagorean school of ancient Greece discovered the golden ratio value of approximately 0.618 through the study of the construction of regular pentagons and regular decagons. This value can also be represented as m = 2sin18°. If m² + n = 4, then find the value of $$\frac {m+ \sqrt {n}}{sin63 ° }$$.

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