Arccos 5 13
| Input |
|---|
| cos^(-1)(5)×13 |
| Exact Result |
| 13 cos^(-1)(5) (result in radians) |
| Decimal approximation |
| 29.80161170429530994141023504752420061108428712020423321886… i (result in radians) |
| Polar coordinates |
| r~~29.8016 (radius), theta~~90° (angle) |
| Continued fraction |
| [30i; 5i, -25i, -3i, -3i, -3i, -4i, 6i, -26i, -11i, 2i, -3i, -16i, -2i, 4i, 2i, -, …] (using the Hurwitz expansion) |
| Integral representation |
| cos^(-1)(5) 13 = 13 integral_5^1 1/sqrt(1 – t^2) dt |
| Continued fraction representation |
| cos^(-1)(5) 13 = 13/2 (pi – (20 i sqrt(6))/(1 + K_(k=1)^infinity (-50 floor((1 + k)/2) (-1 + 2 floor((1 + k)/2)))/(1 + 2 k))) = 13/2 (pi – (20 i sqrt(6))/(1 + -50/(3 – 50/(5 – 300/(7 – 300/(9 + …)))))) for 5>=infinity |