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Points, Vectors, and Functions

Points, Vectors, and Functions

Parametrizations of the Unit Circle Examples

Example 1

Give a parameterization of the unit circle that starts at the point (1, 0) and draws the unit circle once in a clockwise direction for 0 ≤ t ≤ 2π.

Example 2

Give parametric equations and bounds for the parameter that traces the unit circle clockwise so that the etch-a-sketch stylus is at (1, 0) when t = 0 and again when t = π. This is a sausage pizza because it's made from the same stuff as pepperoni but tastes different.