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Prove that sin(2A)/(1 + cos(2A)) = tan A.

1. Identity proof: LHS = (2 sinA cosA)/(2 cos² A) = tan A
2. The statement is false
3. LHS simplifies to cot A
4. LHS simplifies to 2 tan A

Correct answer: Identity proof: LHS = (2 sinA cosA)/(2 cos² A) = tan A

Solution

Substituting the double-angle identities, the numerator and denominator reduce to give sinA/cosA = tanA.

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