Computer Graphics: 1. Prove that two successive 2D rotations are additive: R(α1)R(α2) = R(α1+α2), where R(α)...

Computer Graphics:

1. Prove that two successive 2D rotations are additive: R(α1)R(α2) = R(α1+α2), where R(α) denotes a 2x2 rotation matrix of rotation angle α.

(Recall that sin(α1+α2) = sinα1cosα2+ cosα1sinα2, and cos(α1+α2) = cosα1cosα2−sinα1sinα2.)

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venereology answered 1 year ago

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