Degrees and Radians practice sheet

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. !

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12. −! $

10. −%! "&

13. 12𝜋

11. ! "#

14. "'! (

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

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. "'!

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

28. −510° 29. (! '

30. −"$! %