In Exercises use the result of Exercise 104 to find the angle between the radial and

In Exercises use the result of Exercise 104 to find the angle ψ between the radial and tangent lines to the graph for the indicated value of θ. Use a graphing utility to graph the polar equation, the radial line, and the tangent line for the indicated value of θ. Identify the angle ψ.

Data from in Exercise 104

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:

Polar Equation r = 2(1 - cos 0) Value of 0 0 = π