Answer:
Ф lies in the 2nd quadrant
Step-by-step explanation:
1. If angle Ф lies in the 1st quadrant, then
- sin Ф is a positive value
- cos Ф is a positive value
- tan Ф is a positive value
2. If angle Ф lies in the 2nd quadrant, then
- sin Ф is a positive value
- cos Ф is a negative value
- tan Ф is a negative value
3.If angle Ф lies in the 3rd quadrant, then
- sin Ф is a negative value
- cos Ф is a negative value
- tan Ф is a positive value
4. If angle Ф lies in the 4th quadrant, then
- sin Ф is a negative value
- cos Ф is a positive value
- tan Ф is a negative value
∵ sec Ф < 0
∴ sec Ф is a negative value
∵ cos Ф = 1/sec Ф
∴ cos Ф is a negative value
∵ csc Ф > 0
∴ csc Ф is a positive value
∵ sin Ф = 1/csc Ф
∴ sin Ф is a positive value
→ By using the second rule above
∴ Ф lies in the 2nd quadrant
