Question: Computer Graphics: 1. Prove that two successive 2D rotations are additive: R(a1)R(a2) = R(a1+a2), where R(a) denotes a 2x2 rotation matrix of rotation angle

Computer Graphics: 1. Prove that two successive 2D rotations are additive: R(a1)R(a2)

Computer Graphics: 1. Prove that two successive 2D rotations are additive: R(a1)R(a2) = R(a1+a2), where R(a) denotes a 2x2 rotation matrix of rotation angle a. (Recall that sin(a1+a2) = sinalcosa2+ cosalsina2, and cos(al+a2) = cosalcosa2-sina1sina2.)

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