On GeoGebra, draw a circle and label one of its diameters AB (be sure that this diameter goes through the center of the circle). Place a point anywhere else on the circle and rename it C if it is not already. What is the size of angle ACB? Does it depend on which C you choose? Move point C around the circle. Try to justify what you observe.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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On GeoGebra, draw a circle and label one of its diameters AB (be sure that this diameter goes through the center of the circle). Place a point anywhere else on the circle and rename it C if it is not already. What is the size of angle ACB? Does it depend on which C you choose? Move point C around the circle. Try to justify what you observe.

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