analytical trig

sin

-1

0 12. cos

-1

1 13. sin

-1

1-12 14. cos

-1

1-12

15. tan

-1

0 16. tan

-1

1-12 17. sin

-1 12

2

18. tan

-1 13

3

19. tan

-123 20. sin

-1

a-13

2

b 21. cos

-1

a-13

2

b 22. sin

-1

a-12

2

b

23. cos

-122

2

24. cos

-1

a-1

2

b 25. tan

-1

a-23

3

b 26. sin

-1

1

2

In Problems 27–38, use a calculator to find the approximate value of each expression rounded to two decimal places.

27. sin

-1

0.1 28. cos

-1

0.6 29. tan

-1

5 30. tan

-1

0.2

31. cos

-1

7

8

32. sin

-1

1

8

33. tan

-1

1-0.42 34. tan

-1

1-32

35. sin

-1

1-0.122 36. cos

-1

1-0.442 3 7. cos

-112

3

38. sin

-1 13

5

In Problems 39–58, find the exact value, if any, of each composite function. If there is no value, state it is “not defined.” Do not use a calculator.

39. cos

-1

acos

4p

5

b 40. sin

-1

csin a-p

10

bd 41. tan

-1

ctana-3p

8

bd 42. sin

-1

csina-3p

7

bd

43. sin

-1

asin

9p

8

b 44. cos

-1

ccosa-5p

3

bd 45. tan

-1

atan

4p

5

b 46. tan

-1

ctana-2p

3

bd

4 7. cos

-1

ccosa-p

4

bd 48. sin

-1

csina-3p

4

bd 49. tan

-1

ctana

p

2

bd 50. tan

-1

ctana-3p

2

bd

51. sinasin

-1

1

4

b 52. cosccos

-1

a-2

3

bd 53. tan1tan

-1

42 54. tan3tan

-1

1-224

55. cos1cos

-1

1.22 56. sin3sin

-1

1-224 5 7. tan1tan

-1

p2 58. sin3sin

-1

1-1.524

In Problems 59–66, find the inverse function f

-1

of each function f. Find t