NAME_________________________________________DATE___________________ ALGEBRA2 TRIGONOMETRY (ANGLES) MRS. BINASO Write all answers on loose leaf. Show all work where applicable. Name the quadrant in which each angle lies. 1. 48˚ 2. 130˚ 3. 356˚ 5 3 6. -780˚ 7. 8. 6 8 5. -240˚ 4. -91˚ 6 9. 7 Tell whether each of the following is a positive or negative number. 10. sin 30˚ 11. cos 230˚ 12. tan (-52˚) 13. sec 125˚ 5 5 7 14. cot (-343˚) 15. sin 16. csc 17. cos 6 4 3 F IJ G HK F IJ G H K Find the reference angle of each of the following angles. 18. 240˚ 19. 150˚ 20. 315˚ 11 22. -127˚ 23. 24. 6 4 21. -193˚ 3 25. 4 F IJ G H K Express as a function of a positive acute angle. 26. cos 140˚ 27. sin 310˚ 28. csc 190˚ 30. cot 215˚ 31. cos (-50˚) 32. sec (-160˚) Find each value to four decimal places. 34. sin 18˚10’3’’ 35. tan 26˚14’ 37. csc 41˚26’48’’ 38. cot 39˚15’52’’ F IJ G H K 29. tan 350˚ 33. sin 4 F I G HJK 36. cos 62˚38’13’’ 39. sec 54˚41’11’’ Find the value of θ in the interval 0˚ ≤ θ ≤ 90˚ to the nearest second. 40. cos θ = 0.5132 41. sin θ = 0.3291 42. tan θ = 1.7050 43. csc θ = 1.1284 Find all values of θ in the interval 0˚ ≤ θ ≤ 360˚ to the nearest degree. 44. sin θ = 0.9005 45. tan θ = -0.9438 46. cos θ = 0.2451