How can I draw great circle rays starting from a single given point P (for example, from coordinate [34 N, 116 W] in this map) and along directions D1, D2, ... (for example, 30, 45 and 135 degrees) in QGIS? I do not have any shape files or other vectors for the lines. All I have is a point which can either be imported or selected interactively.
Note that I'd like to plot rays, not paths, since I don't have a destination point (only the direction). However, the map will finally be clipped to its extents, so if it makes things simpler, I can also generate points outside the map with the desired direction and import them.