- Asinθ increases as θ increases
- Bcosθ decreases as θ increases
- Ctanθ increases as θ increases
- Dcosecθ increases as θ increases
Step-by-Step Solution
On 0° to 90° sinθ rises from 0 to 1, so its reciprocal cosecθ falls from very large values down to 1 — it decreases, not increases. The other three statements are true over this range.
Answer: D) cosecθ increases as θ increases