
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 the function f(x) = $\sqrt {3}$sin(3π+x)•cos(π-x) + cos<sup>2</sup>( $\frac {π}{2}$+x)
(1) Find the interval where the function f(x) is monotonically increasing.
(2) In △ABC, the sides opposite to angles A, B, C are a, b, c respectively. If f(A) = $\frac {3}{2}$, a = 2, b + c = 4, find b and c.

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