Which of the following is the graph of Sin\(\theta\) for -\(\frac{\pi}{2}\) \(\leq\) 0 \(\leq\) \(\frac{3\pi}{2}\)?
Attached Figure / Diagram
A
A
B
B
C
C
D
D
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
The graph should start at its lowest point(-1) at -\(\frac{\pi}{2}\), rise to cross the origin (0, 0), and continue upward to reach its peak (1) at \(\frac{\pi}{2}\). It then turns downward, crossing the x- axis(0) at \(\pi\) and ends back at its lowest point (-1) at \(\frac{3\pi}{2}\)
Source: Myschool Past Questions Archive (Record #33108)