θ
Unit Circle
Middle School
Definition
The unit circle is a circle with radius 1 centered at the origin. It's a fundamental tool for defining and visualizing trigonometric functions.
Formulas
x² + y² = 1
Unit circle equation
(x, y) = (cos θ, sin θ)
Point on unit circle
Examples
Example 1
Find the coordinates on the unit circle when θ = π/4.
Applications
Mathematics
Geometric definition of trig functions
Physics
Circular motion, rotation systems
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