Question 27
TrigonometryWhich of the following is the graph of sinθ for −π/2 ≤ θ ≤ 3π/2?
- A.Graph A
- B.Graph B
- C.Graph C
- D.Graph D
Show the answer and explanation
Answer: D (Graph D)
Explanation
sin θ is −1 at −π/2, 0 at 0, 1 at π/2, 0 at π and −1 at 3π/2: it rises through the origin to a peak and then falls. Only graph D has this shape.