
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
\[ \sin \alpha \sin ^{2}\left(\alpha-270^{\circ}\right)\left(1+\tan^{2} \alpha\right)+\cos \alpha \cos ^{2}\left(\alpha+270^{\circ}\right)\left(1+\cot^{2} \alpha\right) \]

Translate the following trigonometric expression involving sine, cosine, tangent, and cotangent into a simplified form.

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