Practice and Problem-Solving Exercises

A Practice

Write each measure in radians. Express your answer in terms of π and as a decimal rounded to the nearest hundredth. See Problem 1.

6. − 300 ° negative 300 degrees
7. 150°
8. − 90 ° negative 90 degrees
9. − 60 ° negative 60 degrees
10. 160°
11. 20°

Write each measure in degrees. Round your answer to the nearest degree, if necessary.

12. 3π radians
13. 11 π 10  radians fraction 11 pi , over 10 end fraction . radians
14. − 2 π 3  radians negative , fraction 2 pi , over 3 end fraction . radians
15. − 3 negative 3  radians
16. 1.57 radians
17. 4.71 radians

The measure θ of an angle in standard position is given. Find the exact values of cos θ and sin θ for each angle measure. See Problem 2.

18. π 6  radians pi over 6 . radians
19. π 3  radians pi over 3 . radians
20. π 2  radians pi over 2 . radians
21. − π 4  radians negative , pi over 4 . radians
22. 2 π 3  radians fraction 2 pi , over 3 end fraction . radians
23. − π 2  radians negative , pi over 2 . radians
24. 5 π 4  radians fraction 5 pi , over 4 end fraction . radians
25. 7 π 6  radians fraction 7 pi , over 6 end fraction . radians

Use each circle to find the length of the indicated arc. Round your answer to the nearest tenth. See Problem 3.

Find the length of each arc.

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