Questions 31, 35, 39, 43, 47, 51, 55Solve all work handwritten , please show work!

S lues to evaluate (if possible) In Exercises 31-36, match the trigonometric expression with one of the following (a) cscx (b) tan x (c) sin x (d) sin x tan x (e) sec x (f) sec? x + tan] x 31. sin x sec x 32. cos x(sec? x - 1) 33. sec* x - tan* x 34. cot x sec x 35. sec2 x - 1 36, COS [(17/2) - x] sin x COS X In Exercises 37-58, use the fundamental identities to simplify the expression. There is more than one correct form of each answer. 37. cot 0 sec 0 38. cos B tan B 39. tan(-x) cos x 40. sin x cot(-x) 41. sin b(csc d - sin b) 42. sec2 x(1 - sin] x) cot x csc 0 43. 44. CSC X sec e 1 - sin x 45. csc2 x - 1 46. tan x + 1 47. tan e cot 9 48. sin O csc 0 sec 0 tan e sin a 49. sec a . 50 tan' 0 tan a sec2 0 51. cos - x / sec x 52. cot 2 - x cos x tric expression with cost y 53. 54. cost(1 + tan? () (c) cot x 1 - sin y (f) sin x 55. sin B tan B + cos B 56. csc d tan d + sec d 57. cot u sin u + tan u cos u CSC x cos' x)(csc x) 58. sin 0 sec 0 + cos 0 csc 0 T/2) - x] IT/2) - x]