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Prove the identity 1 / (cot A + tan A) = sin A cos A.

1. Identity is true (proved)
2. Identity is false
3. Equals sin A / cos A
4. Equals 2 sin A cos A

Correct answer: Identity is true (proved)

Solution

cot A + tan A simplifies to 1/(sin A cos A), so its reciprocal is sin A cos A.

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