
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 \(\frac{\sin ^{4} \alpha}{\sin ^{2} \beta}+\frac{\cos ^{4} \alpha}{\cos ^{2} \beta}=1\), \(\sin \alpha \cos \alpha \sin \beta \cos \beta \neq 0\), find the value of \(\frac{\sin ^{4} \beta}{\sin ^{2} \alpha}+\frac{\cos ^{4} \beta}{\cos ^{2} \alpha}\).

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