Trigonometryhard · Past Paper
The expression (tan θ + sec θ - 1) / (tan θ - sec θ + 1) is equal to:
A(1+sin θ)/cos θ
B(1-sin θ)/cos θ
C(1+cos θ)/sin θ
Dsin θ / (1+cos θ)
✓ Correct Answer: A — (1+sin θ)/cos θ
Using the identity 1 = sec²-tan², the expression simplifies to sec θ + tan θ = (1+sin θ)/cos θ.
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