a. Show that an equation of the line y = mx + b in polar coordinates is r = b/sin θ - m cos θ.

b. Use the figure to find an alternative polar equation of a line, r cos (θ₀ - θ) = r₀. Note that Q(r₀, θ₀) is a fixed point on the line such that OQ is perpendicular to the line and r₀ ≥ 0; P(r, θ) is an arbitrary point on the line.

Transcribed Image Text:

У r cos(0, - 0) = r. P(r, 0)