
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
Solve the equation $\operatorname{tg}\left(x(\eta(x-2 \pi) - \eta(x - 5 \pi))\right) = \frac{1}{\cos ^{2} x} - 1$, where $\eta(x) = \left\{\begin{array}{l}1, \; x \geq 0 \\ 0, \; x < 0\end{array}\right.$ is the Heaviside function.

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