
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) = a + bcos(x) + csin(x), its graph passes through two points (π/2, 1) and (π, 1). Additionally, when x belongs to the set of real numbers, the absolute value of f(x) is always less than or equal to 2. Find the range of possible values for the real number a.

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