Conversion between quaternions and Euler angles: Difference between revisions

Content deleted Content added
STBot (talk | contribs)
m clean up - bother me at my talk if I mess up using AWB
m Delete duplicated words using AWB
Line 8:
:<math>\mathbf{q}_2 = \sin(\alpha/2)\cos(\beta_y)</math>
:<math>\mathbf{q}_3 = \sin(\alpha/2)\cos(\beta_z)</math>
where α is a simple rotation angle and and cos(β<sub>''x''</sub>), cos(β<sub>''y''</sub>) and cos(β<sub>''z''</sub>) are the "[[unit vector|direction
cosine]]s" locating the axis of rotation (Euler's Theorem).