If I use sine, cosine transformation for cyclical features (e.g. weekday or hour of the day), do I lose information if the first ordinal value was 0 respectively?
Assume hours of the day are encoded as follows: 0, 1, ..., 23
If I apply the sine, cosine transformation, I get 23 data points instead of 24 (cf. plot)
Am I losing information on the first ordinal value (0)?
Many thanks in advance!