
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
Plot the following function:

$$
f(x)=\left(\sqrt{\frac{1-\sin x}{1+\sin x}}-\sqrt{\frac{1+\sin x}{1-\sin x}}\right)\left(\sqrt{\frac{1-\cos x}{1+\cos x}}-\sqrt{\frac{1+\cos x}{1-\cos x}}\right)
$$

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