Seien die komplexen Basisvektoren:
                    __
⎛c1⎞               ⎛c1⎞
⎜. ⎟  (a+bi)t      ⎜. ⎟  (a-bi)t
⎜. ⎟ e        und  ⎜. ⎟ e
⎜. ⎟               ⎜__⎟
⎝cn⎠               ⎝cn⎠

Dann ist der erste reelle Basisvektor:
⎡ ⎛Re(c1)⎞            ⎛Im(c1)⎞          ⎤
⎢ ⎜ ...  ⎟            ⎜ ...  ⎟          ⎥    at
⎢ ⎜ ...  ⎟ cos(b*t) - ⎜ ...  ⎟ sin(b*t) ⎥ * e
⎢ ⎜ ...  ⎟            ⎜ ...  ⎟          ⎥
⎣ ⎝Re(cn)⎠            ⎝Im(cn)⎠          ⎦

und der zweite reelle Basisvektor:
⎡ ⎛Im(c1)⎞            ⎛Re(c1)⎞          ⎤
⎢ ⎜ ...  ⎟            ⎜ ...  ⎟          ⎥    at
⎢ ⎜ ...  ⎟ cos(b*t) + ⎜ ...  ⎟ sin(b*t) ⎥ * e
⎢ ⎜ ...  ⎟            ⎜ ...  ⎟          ⎥
⎣ ⎝Im(cn)⎠            ⎝Re(cn)⎠          ⎦

 ℕ•ℕ |   2 |   3 |   4 |   5 |   6 |   7 |   8 |   9 |  10 |  11 |  12 |  13 |
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+
   2 |   4 |   6 |   8 |  10 |  12 |  14 |  16 |  18 |  20 |  22 |  24 |  26 |
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+
   3 |   6 |   9 |  12 |  15 |  18 |  21 |  24 |  27 |  30 |  33 |  36 |  39 |
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+
   4 |   8 |  12 |  16 |  20 |  24 |  28 |  32 |  36 |  40 |  44 |  48 |  52 |
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+
   5 |  10 |  15 |  20 |  25 |  30 |  35 |  40 |  45 |  50 |  55 |  60 |  65 |
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+
   6 |  12 |  18 |  24 |  30 |  36 |  42 |  48 |  54 |  60 |  66 |  72 |  78 |
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+
   7 |  14 |  21 |  28 |  35 |  42 |  49 |  56 |  63 |  70 |  77 |  84 |  91 |
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+
   8 |  16 |  24 |  32 |  40 |  48 |  56 |  64 |  72 |  80 |  88 |  96 | 104 |
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+
   9 |  18 |  27 |  36 |  45 |  54 |  63 |  72 |  81 |  90 |  99 | 108 | 117 |
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+
  10 |  20 |  30 |  40 |  50 |  60 |  70 |  80 |  90 | 100 | 110 | 120 | 130 |
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+
  11 |  22 |  33 |  44 |  55 |  66 |  77 |  88 |  99 | 110 | 121 | 132 | 143 |
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+
  12 |  24 |  36 |  48 |  60 |  72 |  84 |  96 | 108 | 120 | 132 | 144 | 156 |
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+
  13 |  26 |  39 |  52 |  65 |  78 |  91 | 104 | 117 | 130 | 143 | 156 | 169 |
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+
  14 |  28 |  42 |  56 |  70 |  84 |  98 | 112 | 126 | 140 | 154 | 168 | 182 |
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+
  15 |  30 |  45 |  60 |  75 |  90 | 105 | 120 | 135 | 150 | 165 | 180 | 195 |
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+
  16 |  32 |  48 |  64 |  80 |  96 | 112 | 128 | 144 | 160 | 176 | 192 | 208 |
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+
  17 |  34 |  51 |  68 |  85 | 102 | 119 | 136 | 153 | 170 | 187 | 204 | 221 |
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+
  18 |  36 |  54 |  72 |  90 | 108 | 126 | 144 | 162 | 180 | 198 | 216 | 234 |
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+
  19 |  38 |  57 |  76 |  95 | 114 | 133 | 152 | 171 | 190 | 209 | 228 | 247 |
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+
  20 |  40 |  60 |  80 | 100 | 120 | 140 | 160 | 180 | 200 | 220 | 240 | 260 |
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+

Wertetabelle Sinus            Wertetabelle Kosinus
+------+----------+--------+  +------+----------+--------+
| Grad | Bogenmaß | sin(α) |  | Grad | Bogenmaß | cos(α) |
+------+----------+--------+  +------+----------+--------+
|   0° |        0 |      0 |  |   0° |        0 |      1 |
|  30° |      π/6 |      ½ |  |  30° |      π/6 | 0.8660 |
|  45° |      π/4 |   2^-2 |  |  45° |      π/4 |   2^-2 |
|  60° |      π/3 | 0.8660 |  |  60° |      π/3 |      ½ |
|  90° |      π/2 |      1 |  |  90° |      π/2 |      0 |
| 180° |      π   |      0 |  | 180° |      π   |     -1 |
+------+----------+--------+  +------+----------+--------+