The discussion focuses on converting the Cartesian equation y = 1 + 3x into its polar form. The key equations involved are x² + y² = r², x = Rcos(θ), and y = Rsin(θ). The correct approach is to substitute x and y directly with their polar equivalents rather than squaring the original equation, which leads to unnecessary complexity. The final polar equation can be derived by replacing x and y in the original equation with their polar counterparts.
PREREQUISITESStudents in mathematics, particularly those studying calculus or analytical geometry, as well as educators and anyone interested in understanding the conversion between Cartesian and polar coordinates.
HallsofIvy said:Why are you squaring? This will give you a relation between x^2 and y^2, not x and y, and so not the original equation. Just replace "x" with r cos(\theta) and "y" with r sin(\theta) in the original equations.