
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 complex numbers $z\_1=m+(4-m^{2})i$ ($m\in\mathbb{R}$), $z\_2=2\cos θ+(λ+3\sin θ)i$ ($λ,θ∈\mathbb{R}$), and $z\_1=z\_2$, find the range of values for $λ$ \_\_\_\_\_\_.

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