
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 number zero is written on a board. Peter is allowed to perform the following operations:

- Apply to one of the numbers written on the board a trigonometric (sin, $\cos$, $\operatorname{tg}$, or ctg) or inverse trigonometric (arcsin, arccos, $\operatorname{arctg}$, or arcctg) function and write the result on the board;
- Write on the board the quotient or product of two already written numbers.

Help Peter write $\sqrt{3}$ on the board.

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