TRİGONOMETRİ
1. 11° 56' 34'' 2. 29564 3. a) 93° 3' 17'' b) 32° 13' 53'' c) 244° 45' 9'' d) 2° 23' 29'' 4. 76° 2' 5'' 5. 7p/6 6. 23p/24 7. 420° 8. 75° 10. 90° 11. B ve C 12. -3/4 13. 3ó105 32 14. 3 ò10 15. A(-1 2, ñ32 ) B(ñ2, 2 -ñ2)2 16. a) 323° b) 187° c) 210° d) 270° 17. a) p b) 7p/4 c) 0 d) 3p/5 18. 5p/3 19. 9 tane 20. [-2, 1] 21. 21 tane22. a) 1-cosa b) tana c) ôûûõõõtan2a+1-1
23. 4/5 24. 17/3 25. 2ñ5/9 26. 4/5 27. a/óa2+1 28. 4/3 29. 138 30. 32 31. 4 32. 11/4 33. 8/17 34. 36 35. 1 36. 2cosec2a 37. 1 38. secx 39. 2secx 40. cot3x 41. secx 42. 11 43. 2cotx 44. 1/(sin2x-cos2x) 45. 7/5 46. 1/3 47. 7/18 48. ò11/4 49. 47/128 50. 82/9 51. 45/2 52. 1 53. 1 54. 2cosa 55. 1/cos2a 57. 1 58. 0 59. -tanx 60. -2 61. -cosa 62. -secC 63. 1 64. 3 65. -4a2 66. 2a2/(a2+1) 67. (1-m)/m 68. k/ók2+1 69. -125/36 70. -1/5 71. ò13/2 72. -1/ñ5 73. 5/ò17 74. ñ2/4 75. -3/2 76. 4/5 77. -3/5 78. -2/5ñ3 79. 5/4 80. 5/9 81. ñ3+ñ2 82. ñ3/2 83. c>b>a 84. x<y<z 85. c>a>b 86. Yalnız II 87. d<a<b<c 88. 1/2 89. 2ñ7 90. 2ñ3 91. 4ñ2 92. ò46 93. ò37 94. 1/4 95. 60° 96. 120° 97. 6ñ2 98. 3 99. ñ3/6 100. 24/7
101. 1/8 102. 2/3 103. 11 104. a) 2p/5 b) p/2 105. a) p/4 b) 4p/3 106. 2p 107. p 108. 109. 110. 111. 112. 113. 60°, 30°, 90°, -60°, 0° 114. 165° 115. ñ5/3 116. -ñ3 117. 1 118. ó1-x2 /x 119. [arcsin(x-2)]/3 120. 2.sin(1-x) 121. [-1/3, 1] 122. 60°, 30°, 90°, 120°, 135°, 180° 123. 4/5 124. -7/24 125. 5p/34 126. arccos[(x+2)/3] 127. 15° 128. 3 129. 3/5 130. x/ó1+x2 131. 2
FONKSİYONLARLA İLGİLİ UYGULAMALAR
Fonksiyonlarla İlgili Uygulamalar
1 -4/3 2 x:-3, -1, 6 ; y:-2 3 3 4 a) -2 ; b) 25 ; c) 2 5 Artan: (-3, 2) ; Azalan: (-∞, -3) È (2, ∞) 6 (0, 5) È (14, 17) 7 max: (3, 4) ; min: (0, -2) 8 a) (2, 5) , b) (5, 7) , c)5 , d) 2 9 7/12 10 3/2 11 a) f(x) = x2+ 1 , b) 11 , c) 7
İkinci Dereceden Bir Değişkenli Fonksiyonlar (Parabol)
1 1 2 3 3 (2, 4) 4 4 5 a) (3, -1) ; b) (4, 15) ; c) (1, -1) ; d) (1/3, -1/3) 6 1 7 -5 8 12 9 -16 10 20 11 7 12 1 13 (0, 2) 14 -9 15 2 16 12 17 [-8, ∞) 18 39 19 (-∞, 6) 20 18 21 1 22 7 23 -1 5 -5 x y 24 y -1 3 3 x
ANALİTİK GEOMETRİ
2 8 3 -1 4 20 5 (-2, 5) 6 3 7 2 8 (1, 3) 9 (6, 0) 10 65/2 11 (3, -7) 12 5 13 -4 14 2 15 4/3 16 4ñ5 17 A<C<E<B<D 18 (-2, 2) 19 (3, 0) 20 (3,2) 21 (8, 0) 22 14 23 12 24 (4, 2) 25 2 26 ò10 27 ò73 28 (3, 2) 29 ñ2 30 5 31 4ò13 32 B(0, 8), C(-4, 0) 33 m1=-ñ3/3, m2=ñ3 34 m1=-3, m2=2/3, m3=1 35 4 36 -9/4 37 150° 38 4 39 -2 40 -9 41 1/4 42 27/11 43 a) 2/3, b) 3, c) 2, d) -5, e) 2/5 44 -2 45 y = 2x+1 46 2x + 3y + 1 = 0 47 3x - 4y + 6 = 0 48 0 49 5x - 4y - 7 = 0 50 y = -5x + 10 51 x + 2y - 16 = 0 52 (6, 10) 53 x + 2y - 12 = 0 54 2x + y - 4 = 0 55 (-10/3, 10/3) 56 3 57 y = 3x 58 3 59 -6 60 3 62 10 63 ñ5 64 -8/7 65 x - 2y - 7 = 0 66 -4 67 10/7 68 x + y - 2 = 0 69 x + 2y + 3 = 0 70 (-2, 3) 71 27 72 (1/2, 5/2) 73 (9/2, 3/2) 74 5/2 75 -35/6 76 17/5 77 4/3 78 ñ5 79 11 80 3/ò13 81 1/2ò10 82 100/169Fonsiyonların Dönüşümleri
1 (4, 1) 2 16 3 y x h(x) = y 2 2 y x 7 2 g(x) = y 4 y f(x) f(x) + 2 x 5 y x f(x) 6 167 a) tek , b) çift , c) ne tek ne de çift 8 -5 9 196 10 42 11 6 25 y x 4 -1 26 y x 4 -1 27 4 y x 1 28 4 y x 29 y x f(x) g(x) 30 4 4 2 x y 0 31 y = 2x2 - 6x - 8 32 6 33 1 34 y = (-x2+4x-6)/2 35 15 36 1 37 2 38 -14/5 39 y = x2 - 3x + 2 40 6ñ2 41 25/2 42 6 43 (1, -6) 44 4 45 49/4 46 215/4 47 y = (x2-4)/4 48 26
DENKLEM VE EŞİTSİZLİK SİSTEMLERİ
İkinci Dereceden İki Bilinmeyenli Denklem Sistemleri
1 {(-2, -ñ3), (-2, ñ3), (2, -ñ3), (2, ñ3)} 2 {(4, 3)} 3 {(-3,-4)} 4 {(-1, -4), (4, 1)} 5 {(-6, -4), (1, 3)} 6 {(5, -ñ7), (5, ñ7)} 7 {(-2, 10)} 8 5ò10
İkinci Dereceden Bir Bilinmeyenli Eşitsizlikler
1 (-4, ∞) 2 (-∞, 25/3] 3 (-1, 4) 4 (-∞, -2]È[4, ∞) 5 [2, 5] 6 2 7 15 8 -5 9 -30 10 -10 11 R - {-3} 12 {4} 13 R 14 Æ 15 (13/4, ∞) 16 -2 17 [-2, 6] 18 (-∞, -2)È(0, 3) 19 (-∞, -2]È[1, 2] 20 (2, ∞) 21 [6, ∞)È {-3} 22 [1, 4]È{-1} 23 (-3, 3) 24 (-2,∞) - {9} 25 (-∞, -1]È{2} 26 [-1, 5] 27 R - {1} 28 (-∞, -1]È[0, ]È[4, ∞) 29 (-7, 2] 30 (-1, 2)È(5, ∞) 31 (-∞, -2)È[-1, 2)È[4, ∞) 32 (-∞, -6]È(-1, 4) 33 (-2, -1]È(0, 2] 34 6 35 [b/a, -a) 36 (-∞, -2]È(0, 3]È(5, ∞) 37 (-∞, -2] - {0} 38 (-∞, -4]È(0, 1]È(3, 5] 39 (-1, 1)È(3, ∞) 40 (-1, 1)È(2, ∞) 41 -2 42 (-2, 1) 43 (-2, 1) 44 (-2, 1]È[2, 3) 45 (-3, 0] 46 (-∞, -1) 47 (4, ∞) 48 (-∞, -2]
