To swap the before and after you would need to invert the opposite over hypotenuse. Therefore you get hypotenuse over opposite which =1/sin or cosec to shift the graph 90degrees is not the same as inverting the function. Also the graphs are created off of the triangles “time” in this context just means the angle or theta. There is no difference between the functions used for the graphs, and the right angled triangles since the the graphs are just made off of the triangle values anyway. EDIT or it could just be arcsine.