8. (1) possible; (2) impossible; (3) possible.

1. c=2, B=60°, C=30°. 3. c=8/3, A=30°, B=60°. 5. b=20√2, A=C=45°. 7. a=2/2, B=C=45°. 9. B=60°, b=27, c=18/3. 11. B=30°, a=4√3, b=4. 13. A=30°, a=50, c=50/3. 15. A=90°, a=4 √2, b=4. 17. 700.

18. 31.

21. C 54°, a=73, b=124.

1. cot A decreases from ∞ to 0, then increases numerically from

0 to ∞, then decreases from ∞ to 0, then increases numerically

from 0 to∞.

from 1 to ∞o.

2. cosec
3. cos

then increases from 0 to 1.

decreases from ∞ to 1, then increases decreases numerically from 1 to 0, 4. tan A decreases from co to 0, 5. sec decreases

then increases numerically from 0 to -8.

numerically from - ∞ to -1, then increases numerically from -1

to - ∞.

6. 3.

7. 1.

8. -2.

9. 2.