Degrees and Radians practice sheet

complete this math work for me and show your work 

Degrees and Radians Practice Sheet

1. To convert from degrees to radians, __________________________________________.

**Remember, DO NOT put _____ into your calculator. Instead type in __________.

For #2-7, convert each degree measure into radians. Give exact answers in terms of 𝝅.
2. 130°

5. −215°

3. 325°

6. 105°

4. 570° 7. −1100°

8. To convert from radians to degrees, __________________________________________.

**DO put EVERYTHING in your calculator, exactly as you wrote it down.

For #9-14, convert each radian measure into degrees.
9. !

“#

12. −!

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10. −%!
“&

13. 12𝜋

11. !
“#

14. “‘!
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15. Explain how to find coterminal angles. How does this process differ for angles given in
radians verses angles given in degrees?

For #15-18, find an angle between 𝟎 and 𝟐𝝅 coterminal to the given angle. Give your
answer in radians.
16. &%!

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18. −”)!
‘

17. ‘&!
%

19. 27 radians

Elizabeth Gutermann

Elizabeth Gutermann

For #20-23, find the measure of each angle.
20.

22.

21.

23.

For #24-27, draw an angle with the given measure in standard position

24. 280°

26. 710°

25. −120°

27. “‘!

)

For #28-30, state the quadrant in which the terminal side of the angle lies.

28. −510° 29. (!
‘

30. −”$!
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