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Mathematics LibreTexts

6.3E: Inverse Trigonometric Functions (Exercises)

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Section 6.3 Exercises

Evaluate the following expressions, giving the answer in radians.

1. sin1(22)

2. sin1(32)

3. sin1(12)

4. sin1(22)

5. cos1(12)

6. cos1(22)

7. cos1(22)

8. cos1(32)

9. tan1(1)

10. tan1(3)

11. tan1(3)

12. tan1(1)

Use your calculator to evaluate each expression, giving the answer in radians.

13. cos1(0.4)

14. cos1(0.8)

15. sin1(0.8)

16. tan1(6)

Find the angle θ in degrees.

17. 屏幕快照 2019-07-09 上午4.34.06.png18.屏幕快照 2019-07-09 上午4.34.22.png

Evaluate the following expressions.

19. sin1(cos(π4))

20. cos1(sin(π6))

21. sin1(cos(4π3))

22. cos1(sin(5π4))

23. cos(sin1(37))

24. sin(cos1(49))

25. cos(tan1(4))

26. tan(sin1(13))

Find a simplified expression for each of the following.

27. sin(cos1(x5)), for 5x5

28. tan(cos1(x2)), for 2x2

29. sin(tan1(3x))

30. cos(tan1(4x))

Answer

1. π4

3. π6

5. π3

7. 3π4

9. π4

11. π3

13. 1.9823

15. -0.9273

17. 44.427

19. π4

21. π6

23. 2107

25. 117

27. 25x25

29. 3x9x2+1


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