
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
Let $r$ be the distance from the origin to a point $P$ with coordinates $x$ and $y$, and define $s = \frac{y}{r}$ and $c = \frac{x}{r}$. Evaluate the expression $s^2 + c^2$ and determine its range in the real numbers.
A) 0
B) Between 0 and 1, exclusive
C) Exactly 1
D) Greater than 1
E) Less than 0

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