
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 complex potential \( f(z) \) of the fluid flow, given the equation of the equipotential lines

$$
\operatorname{ch} x \sin y + 2 x y = c
$$

where \( c \) is a constant and \( f(0) = 0 \).

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