
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 \( g(x) = \frac{4 \cos^4 x + 5 \sin^2 x}{4 \sin^4 x + 3 \cos^2 x} \), find:

a) The roots of the equation \( g(x) = \frac{4}{3} \);

b) The maximum and minimum values of the function \( g(x) \).

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