
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
(This question is worth 12 points in total)

Given the function $f(x) = \sin^2x - \sin^2x$;

(1) Find the value of $f()$;

(2) When $x \in [0, \pi]$, find the maximum value of the function $f(x)$.

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