UnitCircleWorksheet

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School

University of Notre Dame *

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Course

180

Subject

Mathematics

Date

Nov 24, 2024

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pdf

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2

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Name: Unit Circle Worksheet 1. What is the unit.circle? . 2. Explain how to find the exact value of cos 390‘; without using a calculator. 3. Explain how to find the exact value of sin 300° without using a calculator. _ In 4-9, true or false. Do not use a calculator. 4, sin 390° = sin 30° 7. cos 540° = cos 180° 5 -sin 300° = -sin 60° 8. cos 210° = cos 30° 6. sin240° = -sin 60° 9. cos300° = -cos 60° In 10-17, for the indicated point, tell if the value for sin @ or cos 8 is positive, negative, or neither. 1 I D B 10. A, cos @ 14. E, cos @ -1 i, 11. B, sin @ 1. F, cos @ E . A 12. C, sin 8 16. G, cos 6 . 13. D, cos @ _ 17. H, sin 8 M In 18-25, refer to the diagram at the right. Give the letter that could ‘'stand for the function value. 18. cos 180° 22. sin720° (g, h) | (c, 19. sin 270° 23. cos 398° P . , | @ j) (a, b) 20. sin 38° . 24, cos 250° 21. cos310° .25, sin450° k, ) (©p) (m, n v d b
Unit Circle Worksheet % In 2645, give the exact value. Do not use a calculator. 26. cos 360° 27. tan360° 28. cot 180° 29. sin 180° 30. sec90° 31. sin90° 32. cos270° 33. £s¢270° 34. . cos 540° 35. | sin900° 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. In 4648, use the diagram of a unit circle at the right. 46. Find cos 6. 47. | Find sin 6. 48. | Find 6. In 49-54, use the d.iagr;nn of a unit circle at the right. 49. Find sina. 50. Find cos a. 51. Find cos B. 52." Find sin B. 53. Find o 54. Find P. tap30° SeC45° €SC 60° sin 150° cos 240° sin 300° cot135° cos 315° eot 210° cos 210° -1 page 2 (559, .829) (-.899, .438) -1 ~ \ s (743, -.669)
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