
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
Let  $ x,y\in\mathbb{R}$  , and  $ x,y  \in  $    $ \left(0,\frac{\pi}{2}\right)  $ , and  $  m \in \left(2,+\infty\right) $  such that  $ \tan x * \tan y = m $  . Find the minimum value of the expression  $ E(x,y) = \cos x + \cos y $ .

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