Answers for Lesson 14-1 Exercises 1. Cos cot = cos == 2. sin cot = sin = cos 3. cos tan = cos = sin 4. sin sec = sin 5. cos sec = cos =1 6. tan cot = =1 7. sin csc = sin 8. cot = = = - -sin = tan =1 10. sin2 11. tan2 12. −-cot2 13. csc 14. sin 15. cos 16. 1 17. sin 18. 1 19. 1 20. 1 21. sec 22. 1 23. sec2 24. sec2 25. cot 26. csc 27. -tan2 28. tan 29. sec 30. csc 31. sin2 32. sin2 33. sin 34. sec 35. sec 36. 1 37. 1 38. 1 9. 1 39. 40. 41. 42. 43. 44. csc2 Answers for Lesson 14-1 Exercises (cont.) 45. sin2 tan2 = sin2 = (1 – cos2 ) = tan2 = 46. sec - sin tan = - sin = 47. sin - sin2 = cos cos (tan + cot ) = sin = sin2 = cos + cos2 =1 48. = 49. = sin 50. (cot = csc2 + 1)2 = cot2 + 2 cot + 1 = cot2 + 1 + 2 cot + 2 cot 51. 52. 1 - sin 53. Check students’ work. 54. When checking a root of an equation, you substitute the solution into the equation to see if it is true. When verifying an identity, you substitute equivalent expressions until both sides are the same. 55. 1 + sec 56. = 1+ +1= cot +1 Answers for Lesson 14-1 Exercises (cont.) 57. = + = cos2 + sin2 =1 58. sin2 tan2 + cos2 tan2 = tan2 = tan2 (1) = tan2 = sec2 -1 (sin2 + cos2 59. 1 60. csc2 61. If n2 > n1, then 1 > 2; if n2 2; if n2 = n1, then 1= 2. n1, then 1 < )