The discussion focuses on deriving the polar equation for the hyperbola represented by the equation xy=16. Participants confirm that the relationship between r and θ can be established by substituting x and y with their polar equivalents, x=rcosθ and y=rsinθ. The correct approach involves plugging these substitutions into the original equation to find the polar form. The solution requires understanding the relationship between Cartesian and polar coordinates in the context of hyperbolas.
PREREQUISITESStudents studying conic sections, mathematics educators, and anyone interested in the conversion between Cartesian and polar coordinates, particularly in the context of hyperbolas.
Magnawolf said:Homework Statement
Find a polar equation with the graph as xy=16
The Attempt at a Solution
I also tried using x = rcos\theta and y = r sin\theta but I can't get anything. I know it's a hyperbola.
Magnawolf said:Inversely? I'm not sure!