588 CHAPTER 5 Trigonometric Functions Give all six trigonometric function values for each angle u. Rationalize denominators when applicable. 25. cos u = - 5 8 , and u is in quadrant III 26. sin u = 23 5 , and cos u 60 27. sec u = -25, and u is in quadrant II 28. tan u = 2, and u is in quadrant III 29. sec u = 5 4 , and u is in quadrant IV 30. sin u = - 2 5 , and u is in quadrant III Find exact values of the six trigonometric functions for each angle A. 31. A 11 61 60 32. 40 42 A 58 Find exact values of the six trigonometric functions for each angle. Do not use a calculator. Rationalize denominators when applicable. 33. 1020° 34. 120° 35. -1470° 36. -225° Find the sine, cosine, and tangent function values for each angle. 41. x y u 0 (–3, –3) 42. x y 0 (1, –Ë3) u Use a calculator to approximate the value of each expression. Give answers to six decimal places. 43. sec 222° 30′ 44. sin 72° 30′ 45. csc 78° 21′ 46. cot 305.6° 47. tan 11.7689° 48. sec 58.9041° Find a value of u in the interval 30°, 90°2 that satisfies each statement. Write each answer in decimal degrees to six decimal places. 49. sin u = 0.82584121 50. cot u = 1.1249386 51. cos u = 0.97540415 52. sec u = 1.2637891 53. tan u = 1.9633124 54. csc u = 9.5670466 Find all values of u, if u is in the interval 30°, 360°2 and u has the given function value. 37. cos u = - 1 2 38. sin u = - 1 2 39. sec u = - 223 3 40. cot u = -1 Find all values of u, if u is in the interval 30°, 360°2 and has the given function value. Round answers to the nearest degree. 55. sin u = 0.73135370 56. tan u = 1.3763819
RkJQdWJsaXNoZXIy NjM5ODQ=