So we have a little set of XY points in a1:b5 to draw a triangular shape.
Put the rotation angle in c1 and convert that to radians in d1.
A rotation matrix in e1:f2 that is transposed from the wikipedia form as it gets multipled rows by columns.
and put a matrix forula with CTRL+SHIFT+ENTER in g1:h5.
Insert a chart with a two data ranges, graphing a1:b5 and g1:h5. It looks best if you set the axes from -20 to 20.
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LibreOffice calc redraws the graph on the fly so you get an animation with this:
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