
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
Considering a point $P$ with coordinates denoted by $(x, y)$, the radius $r$ is given as the distance from the origin to the point $P$. Define $s = \frac{y}{r}$ (sine component) and $c = \frac{x}{r}$ (cosine component). If it is given that $c^2 = \frac{4}{9}$, determine the range of possible values for $s^2 + c^2$.
A) 0.5
B) 0.75
C) 1
D) 1.25

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