# Math for Robotics

### Math Testbed Area

Given a robot arm with shoulder angle θ1 and elbow angle θ2, calculate the position of the end effector.

$\operatorname{rot}(\theta) = \left[ \begin{array}{cc} \cos\theta & -\sin\theta\\ \sin\theta & \cos \theta \end{array} \right]$

$\vec{x} = \left[ \begin{array}{c} 1\\ 2\\ 3 \end{array} \right]$