I have found the shortest distance between two points on the conic surface z = 1 - sqrt(x2 + y2) to be sqrt(x2 + y2) = ρ = Asec((θ/√2) + B). What is the actual equation of this path between the points (x,y,z) = (0, -1, 0) and (0, 1, 0)?
The Attempt at a Solution
here we have ρ = 1 for both coordinates. we also have θ = -pi/2 and pi/2. I cannot seem to solve this as i keep going in circles getting 0 = 0 and sometimes even more ridiculous results like pi/2 = -pi/2. I tried using wolfram alpha but they insist A = 0.
I am taking my expression for ρ to be correct as it was confirmed by the instructor. what the heck is A and B????