
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 $f(x)=λ\cos ^{2}(ωx+ \frac {π}{6})-3(λ > 0,ω > 0)$ with a maximum value of $2$ and a minimum positive period of $\frac {2π}{3}$.

1. Find the analytical expression of the function $y=f(x)$.
2. Find the range of the function $f(x)$ when $x \in [0, \frac {π}{2}]$.

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