
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 $f(x) = 2\sin x + \tan x - ax$.
(1) If the curve $y = f(x)$ is tangent to the x-axis at the origin, find the value of $a$;
(2) If $f(x) \geq 0$ holds for $x \in [0, \frac{\pi}{2}]$, find the range of values for $a$.

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