What is the radius of the unit circle centered at the origin?
The radius is 1.
Unit circle radius
Radius is 1, circumference is 2π.
What is the positive direction on the trigonometric circle?
Counterclockwise is the positive direction.
Radian-degree relation
π radians = 180°.
What does a radian measure on the unit circle?
An arc length on the unit circle.
Coterminal angles
x + 2kπ, k in integers.
What is the conversion relation between radians and degrees?
.
Principal measure interval
Angles in [-π, π].
Sine on circle
Vertical coordinate of point.
Cosine on circle
Horizontal coordinate of point.
Arc length of half-turn
π radians.
Test your knowledge with 11 questions on Trigonometry Essentials.
1. What defines the unit circle?
2. What is the length of an arc on the unit circle corresponding to a quarter-turn?
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