Trigonometryhard · Past Paper
The expression (1 + sin 2θ + cos 2θ) / (1 + sin 2θ - cos 2θ) simplifies to:
Atan θ
Bcot θ
Csin θ
Dcos θ
✓ Correct Answer: B — cot θ
Using 1+cos 2θ=2cos²θ and 1-cos 2θ=2sin²θ, the expression becomes (2cos²θ+2sinθcosθ)/(2sin²θ+2sinθcosθ) = cosθ/sinθ = cotθ.
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