
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
Let \(\theta_{1}\) and \(\theta_{2}\) be acute angles, and suppose:
$$
\frac{\sin^{2020} \theta_{1}}{\cos^{2018} \theta_{2}} + \frac{\cos^{2020} \theta_{1}}{\sin^{2018} \theta_{2}} = 1.
$$
Then, \(\theta_{1} + \theta_{2} =\) \(\qquad\).

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