I already learnt in school to calculate trigonometry using radians or turns depending on the situation. It was part of the general math curriculum in Bavaria. As far as I am aware both are mathematically sound and there is no reason to religiously use one of them over the other. Let your use-case or input parameters decide. The examples given in the article definitely make no sense in radians.
"I already learnt in school to calculate trigonometry using radians or turns depending on the situation. It was part of the general math curriculum in Bavaria. "
Out of interest, when did you go to school in Bavaria and in which grade did you learn about turns? I was in school in Bavaria a long time ago and I don't remember learning about turns there. Could very well be that I forgot or our teacher forgot to teach it.
That should've been about 15 years ago. I don't remember the grade, but based on the subject probably 8th or 9th? I thought it was in the textbook but possibly our teacher just added it himself.