| Table for cosines of multiple angles (Notation: t = 2 cos x) |
|---|
| 2 cos 2x = t2 - 2 |
| 2 cos 3x = t(t2 - 3) |
| 2 cos 4x = t4 - 4t2 + 2 |
| 2 cos 5x = t(t4 - 5t2 + 5) |
| 2 cos 6x = (t2 - 2)(t4 - 4t2 + 1) |
| 2 cos 7x = t(t6 - 7t4 +14t2 - 7) |
| 2 cos 8x = t8 - 8t6 + 20t4 - 16t2 + 2 |
| 2 cos 9x = t(t2 - 3)(t6 - 6t4 + 9t2 - 3) |
| 2 cos 10x = (t2 - 2)(t8 - 8t6 + 19t4 - 12t2 + 1) |
| 2 cos 11x = t(t10 - 11t8 + 44t6 - 77t4 + 55t2 - 11) |
| 2 cos 12x = (t4 - 4t2 + 2)(t8 - 8t6 + 20t4 - 16t2 + 1) |
| 2 cos 13x = t(t12 - 13t10 + 65t8 - 156t6 + 182t4 - 91t2 + 13) |
| 2 cos 14x = (t2 - 2)(t12 - 12t10 + 53t8 - 104t6 + 86t4 - 24t2 + 1) |
| 2 cos 15x = t(t2 - 3)(t4 - 5t2 + 5)(t8 - 7t6 + 14t4 - 8t2 + 1) |
| 2 cos 16x = t16 - 16t14 + 104t12- 352t10 + 660t8 - 672t6 + 336t4- 64t2 + 2 |
| 2 cos 17x = t(t16 - 17t14 + 119t12 - 442t10 + 935t8 - 1122t6 + 714t4 - 204t2 + 17) |
| Authors: | |
| Gerzson Keri e-mail: keri@oplab.sztaki.hu |
Barbara Keri e-mail: kerib@ludens.elte.hu |