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.
Share this question
More from Trigonometry
- The value of cos 60° / sin 30° + tan 45° is:
- If 5 tan θ = 4, then (5 sin θ - 3 cos θ) / (5 sin θ + 2 cos θ) is equal to:
- In a right triangle, if p=5, b=12, then find h.
- Which of the following is equivalent to cot(A - B)?
- If the angle of elevation of a kite is 60° and the length of the string is 100 m, find the vertical height of the kite.