The Matlab/Octave rotations library is a collection of functions, bundled as m-scripts, that address computations and numerical handling of rotations in 3D Euclidean space. The rotation representations that are supported are rotation matrices (Rotmat), Quaternions (Quat), intrinsic ZYX Euler angles (Euler), fused angles (Fused) and tilt angles (Tilt). Operations such as composition, inversion, ZYX yaw extraction, fused yaw extraction, random generation, equality detection, vector rotation and much more have been implemented for each rotation representation. Tilt vector addition and the relative and absolute tilt phase spaces are also supported. Unit tests for each function are provided to ensure that the library is performant.