Trigonometryhard · Past Paper
Simplify (1 + sin 2A + cos 2A) / (1 + sin 2A - cos 2A).
Atan A
Bcot A
C1
Dsin A
✓ Correct Answer: B — cot A
Using 1+cos 2A = 2 cos^2 A and 1-cos 2A = 2 sin^2 A, the expression simplifies to (2 cos^2 A + 2 sin A cos A) / (2 sin^2 A + 2 sin A cos A) = cos A / sin A = cot A.
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