
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
The slope angle of the line $\begin{cases} x=-1+t\sin 40^\circ \ y=3+t\cos 40^\circ \end{cases}$ (where $t$ is a parameter) can be determined by finding the angle $\theta$ for which $\tan \theta=\frac{y'}{x'}$, where $y'=t\cos 40^\circ$ and $x'=t\sin 40^\circ$.

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