
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 $f(x)=\cos ^{2}x- \sqrt {3}\sin x\cos x- \frac {1}{2}$ which can be transformed into $f(x)=A\sin (ωx+φ)(A > 0,ω > 0,φ∈(0,π))$.
(1) Find the values of $A$, $ω$, $φ$ and the interval where the function $f(x)$ is monotonically increasing;
(2) In an isosceles triangle $△ABC$, if $A=φ$, $a=2$, find the angle $B$ and the side $c$.

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