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What is the trig unit circle? How does the trig circle define the trig functions?

Author:
February 20th, 2023

What is the trig unit circle?
It is a circle with radius R = 1. The variable arc AM = x rotates counterclockwise on the trig circle.
When M varies on the trig circle:
The horizontal axis OAx defines the function f(x) = cos x
The vertical axis OBy defines the function f(x) = sin x.
The vertical axis AT defines the function f(x) = tan x
The horizontal axis BU defines the function f(x) = cot x

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