$wolfram mathematica plot angle between lines$

(Id like this plot rotated, so that the position of points on that plot, left-to-right, correspond to and aligns with the position of corresponding points in the main plot.) Here is the code: fx t : Sin t + 1/3 Sin 2 t + 1. Use VectorAngle to compute the angle between two vectors. Below Id like a plot of the horizontal ( x) component, also with points marked for the values of the parameter t. Of course, if you dont have too many images to make, then its not hard to manually add the labels in using Epilog, for example. Theres also a LabelPlot command defined in the Technical Note Labeling Curves in Plots. For a list of 2d coordinates I want to determine the variation of the embedded angle between the line which is connecting each coordinate and a fixed reference point and the x axis. The Wolfram Language can be used to compute these different angle measures. Theres some nice code that allows you to do this dynamically in an answer to How to annotate multiple datasets in ListPlots.

Wolfram mathematica plot angle between lines