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rotation formula proof

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I know that to rotate an object in the z - axis we can use new_x = x * cos (angle) - y * sin (angle) new_y = x * sin (angle) + y * cos (angle) is there any idia where does it derived from? I know it''s from the rotation matrices but can you help me with the proof using trigs... thanks before

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Guest Anonymous Poster
<a href="http://www.siggraph.org/education/materials/HyperGraph/modeling/mod_tran/2drota.htm">clickerson</a>

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