
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 $u$ be the distance from the origin to a point $Q$ with coordinates $m$ and $n$, and let $s=\sin\theta$, $c=\cos\theta$ be such that $\theta$ is the angle formed by $x$-axis and line segment joining origin to $Q$. Define another variable $t$ as the tangent of the angle $\theta$, $t = \frac{n}{m}$. Determine the values that $s^2 c^2 - t^2$ can take.
**A)** -0.25 to 0   
**B)** 0 to 0.25     
**C)** Less than -0.25    
**D)** Exact -0.25 and 0

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