
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
Find the general equation of curve C, parameterized by $θ$: $ \begin{cases} x=\cos θ - 1 \\ y=\sin θ + 1 \end{cases} $, where $θ$ is the parameter.

A) $(x-1)^{2}+(y+1)^{2}=1$
B) $(x+1)^{2}+(y+1)^{2}=1$
C) $(x+1)^{2}+(y-1)^{2}=1$
D) $(x-1)^{2}+(y-1)^{2}=1$

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