University:
Felician University
Course:
MATH-231 | Geometry I
Academic year:

2020
Views:

104

Pages:

2
Author:

CometConductor

Name: Kevy Date: Period: Angles and the Unit Circle Problems 1-8: Sketch each angle in standard position. 1. 120° 2. 90° 3. -60° 4. -135° 5. 240° 6. -300° 7. 75° 8. -225° Problems 9-16: Find the measure of an angle between 0° and 360° coterminal with each given angle. Add or subtract 360° until you get an angle between 0° and 360°. 9. -225° -225 + 360 = 135° 10. 390° 390 - 360 = 30° 11. -25° -25 + 360 = 335° 12. -160° -160 + 360 = 200° 13. -48° -48 + 360 = 312° 14. 425° 425 - 360 = 65° 15. -132° -132 + 360 = 228° 16. 520° 520 - 360 = 160° **Problems 17-22: Find the exact coordinates of the point where the terminal side of the given angle intersects the unit circle. Then find the decimal equivalents. Round your answer to the nearest hundredth.** 17. 150° cos(150°) = -√3/2 sin(150°) = 1/2 (-√3/2, 1/2) or (-0.87, 0.5) 18. 120° cos(120°) = -1/2 sin(120°) = √3/2 (-1/2, √3/2) or (-0.5, 0.87) 19. 225° cos(225°) = -√2/2 sin(225°) = -√2/2 (-√2/2, -√2/2) or (-0.71, -0.71) 20. -60° cos(-60°) = 1/2 sin(-60°) = -√3/2 (1/2, -√3/2) or (0.5, -0.87) 21. -90° cos(-90°) = 0 sin(-90°) = -1 (0, -1) 22. 720° cos(720°) = 1 sin(720°) = 0 (1, 0) **Problems 23-26: Use a calculator to find the values of cosθ and sinθ. Round your answers to the nearest hundredth.** 23. 35° cos(35°) ≈ 0.82 sin(35°) ≈ 0.57 24. 180° cos(180°) = -1 sin(180°) = 0 25. -100° cos(-100°) ≈ -0.17 sin(-100°) ≈ -0.98 26. 152° cos(152°) ≈ -0.88 sin(152°) ≈ 0.47 **Problems 27-30: Complete the following statements with positive or negative as an answer.** 27. In Quadrant I: cosθ = positive sinθ = positive 28. In Quadrant II: cosθ = negative sinθ = positive 29. In Quadrant III: cosθ = negative sinθ = negative 30. In Quadrant IV: cosθ = positive sinθ = negative