2026 · Q99
For the next two (02) items that follow:
p = sinθ/(1 + cosθ + sinθ) and q = (1 + sinθ)/(1 + sinθ − cosθ).
99. Which one of the following is correct?
Elementary MathematicsTrigonometry
- Ap − q = 0
- B2pq − 1 = 0
- Cpq − 2 = 0
- Dpq − 1 = 0
Explanation
2pq=2sinθ(1+sinθ)/[(1+sinθ+ cosθ)(1+sinθ−cosθ)]. The denominator is (1+sinθ)²−cos²θ=2sinθ(1+sinθ), so 2pq=1, i.e. 2pq−1=0, option B.