(a) Use Exercise 81 to show that the angle between the tangent line and the radial line

Chapter 10, Problem 82

(choose chapter or problem)

(a) Use Exercise 81 to show that the angle between the tangent line and the radial line is at every point on the curve . ; (b) Illustrate part (a) by graphing the curve and the tangent lines at the points where and . (c) Prove that any polar curve with the property that the angle between the radial line and the tangent line is a constant must be of the form , where and are constants.

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