
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 real constants $a$, $b$, $c$, and $d$ satisfy the following two equations simultaneously: ① $a\sin\theta + b\cos\theta - c = 0$; ② $a\cos\theta - b\sin\theta + d = 0$ (where $\theta$ is any acute angle), then the relationship between $a$, $b$, $c$, and $d$ is:

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