Trigonometry
Combined trig equation — counting solutions in larger interval
MJAT_TS5_P2
Grade 12
Question:
**Paragraph (continued):** Number of solutions of the same equation in $(0, 40\pi)$ is:
Step-by-Step Solution
Key Concept: The equation has period $2\pi$, with 2 solutions per period. In $(0,40\pi)$: 20 periods × 2 solutions = 40.
$\mathbf{40}$ solutions.
Correct Answer: 40