College Trigonometry, 2011a

10.6 The Inverse Trigonometric Functions 849
10.6.6 Answers
(
1. arcsin (−1) = − π √ )
(
3
2. arcsin − = − π √ )
2
3. arcsin − = − π 2
2 3
2 4
(
4. arcsin − 1 )
= − π ( 1
5. arcsin (0) = 0 6. arcsin =
2 6
2)
π 6
(√ )
(√ )
2
7. arcsin = π 3
8. arcsin = π 9. arcsin (1) = π 2 4
2 3
2
( √ )
(
3
10. arccos (−1) = π 11. arccos − = 5π √ )
2
12. arccos − = 3π 2 6
2 4
(
13. arccos − 1 )
= 2π 2 3
(√ )
2
16. arccos = π 2 4
14. arccos (0) = π 2
(√ )
3
17. arccos = π 2 6
19. arctan ( − √ 3 ) = − π 20. arctan (−1) = − π 3
4
(√ )
3
22. arctan (0) = 0 23. arctan = π 3 6
( 1
15. arccos =
2)
π 3
18. arccos (1) = 0
( √ )
3
21. arctan − = − π 3 6
24. arctan (1) = π 4
25. arctan (√ 3 ) = π 3
( √ )
3
28. arccot − = 2π 3 3
26. arccot ( − √ 3 ) = 5π 6
29. arccot (0) = π 2
27. arccot (−1) = 3π 4
(√ )
3
30. arccot = π 3 3
31. arccot (1) = π 4
32. arccot (√ 3 ) = π 6
33. arcsec (2) = π 3
34. arccsc (2) = π 6
(
2 √ )
3
37. arcsec = π 3 6
35. arcsec (√ 2 ) = π 4
(
2 √ )
3
38. arccsc = π 3 3
36. arccsc (√ 2 ) = π 4
39. arcsec (1) = 0
40. arccsc (1) = π 2
41. arcsec (−2) = 4π 3
42. arcsec ( − √ 2 ) = 5π 4