Asked by Nick

Let the polar coordinates of the point (x, y) be (r, θ). Determine the polar coordinates for the point (2x, y)

Answers

Answered by oobleck
For (x,y), we have
r^2 = x^2 + y^2
tanθ = y/x
Let the new point have polar coordinates (p,φ). Then
p^2 = (2x)^2 + y^2 = 4x^2 + y^2 = r^2 + 3x^2
tanφ = y/(2x) = 1/2 (y/x) = 1/2 tanθ

You can massage those into other forms, of course.
There are no AI answers yet. The ability to request AI answers is coming soon!

Related Questions