Prove that the tangent of the angle (0 /2) between the radial line

Prove that the tangent of the angle ψ(0 ≤ ψ ≤ π/2) between the radial line and the tangent line at the point (r, θ) on the graph of r = ƒ(θ) (see figure) is given by

Transcribed Image Text:

tan = dr/de R|N 2 Polar curve: r = f(0) A Tangent line Y Radial line P = (r, 0) 0 Polar axis