\subsection{Inverse Kinematics (IK)} \begin{wrapfigure}[10]{r}{0.4\columnwidth} \includegraphics[width=0.4\columnwidth]{assets/inverse-kinematics.png} \end{wrapfigure} Option: Solve Forward Kinematics for angles.\\ Better: Law of cosine with polar coordinates. Compute angle using cosine rule,\\ $\theta_1 = \phi \pm \alpha$, $\theta_2 = \pm(\pi - \beta)$ (Positive for {\color{ForestGreen} Elbow Down}, Negative for {\color{red} Elbow Up}) Extension to 6R: 1. Waist: spherical coords (2 sol.)\\ 2. 2 sols from 2R for shoulder + elbow\\ 3. Solve for wrist joints (no influence on pos)