
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 $f(x)=x^{2}+2x\tan θ-1$, where $θ∈(-\frac{π}{2}, \frac{π}{2})$
(1) When $θ=-\frac{π}{4}$, $x∈[-1, \sqrt{3}]$, find the maximum and minimum values of the function $f(x)$
(2) Find the range of $θ$ such that $y=f(x)$ is a monotonous function in the interval $[- \sqrt{3},1]$.

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