
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
Given $f(x) = \sin x + \cos x$, and $f'(x) = 3f(x)$, where $f'(x)$ is the derivative of $f(x)$, evaluate the expression: $$\frac{\sin^2 x - 3}{\cos^2 x + 1}$$

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