How to construct a curve with tangent vectors of regular intervals

Hi everyone, I’m trying to construct curves from tangent vectors of regular intervals.

To shortly explain what I’m trying to do, I managed to extract a list of inclination angles of a desired curve at regular intervals according to the above mathematical expression. However, I don’t know how to make a curve with the said output.
I tried out interpolate(t) or bezier curves but to no avail. I also tried sort list and then moved the starting points of a line according to the tangent vectors to make a end point. However, I just can’t figure out how to feed in the end points of a former line into the next lines’ starting point.

Thanks in advance!

Interesting but.

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