MATH 122
INVERSE TRIG FUNCTIONS

EVALUATE THE FOLLOWING WITHOUT USING A CALCULATOR:

1. arcsin

2. cos -1(-)

3. tan (sin -1)

4. . sin-1

5. sin -1(1) – cos -1(-)

6. sin -1() + cos -1(1)

7. arccos (sin -10)

8. arcsin (cos -11)

9. sin

10. cos (sin -1.96)

11. cos -1

12. cos (2sin -1 )

13. sin -1

14. arctan

15. cot -1(-1)

16. cot -1

17. tan-1(tan x)

18. tan (cot –1x)

19. sin (cot –1x)

20. sin (tan –1 )

21. cos

22. cos

23. sin

24. sin (2tan-1x)

25. sin –1

26. cos (sin –11 – tan -1)

27. sec –1(cos p )

28. sec

29. sin

30. sin

USE YOUR CALCULATOR
TO FIND THE FOLLOWING:

31. arcsin (0.6072)

32. sin –1(-0.3276)

33. cos –1(-0.4781)

34. arctan (-1.1761)

35. sec 27.3

36. cot 3.2

37. sec –1(1.872)

38. cos-1(2.7681)

39. sec-1(-10.736)

40. csc-1(-15.87)

41. arccot (3.7622)

42. csc -1(.1792)

43. cot -1(-0.1204)

 

SOLUTIONS

1. , 60

2. , 120

3.

4. , 30

5. - , -30

6. , 30

7. , 90

8. 0

9. 5/13

10. 7/25 = .28

11. 0

12.

13. -, -90

14. , 60

15. , 135

16. , 30

17. x

18.

19.

20. 3/5

21. 3/5

22.  7/25

23. 7/25

24.

25. , 30

26.

27. p

28.

29.

30.

31. 37.4 or .6525 rad

32. -19.1 or -.3338 rad

33. 118.6 or 2.0693 rad

34. -49.6 or -.8661 rad

35. 1.1253

36. 17.1

37. 57.7 or 1.0072 rad

38. undefined

39. 95.3 or 1.6641 rad

40. -3.6 or -.063 rad

41. 14.8 or .2598 rad

42. undefined

43. 97 or 1.69 rad

(Note: 0 < cot -1x < p )