
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 the function $f\left(x\right)=a^{x-3}+x(a \gt 0$ and $a\neq 1)$, the graph passes through a fixed point $A$, and point $A$ lies on the terminal side of angle $\theta$. Find $\frac{{\sin\theta-\cos\theta}}{{\sin\theta+\cos\theta}}$.

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