Unit Circle Calculator
Angle θ → (cos θ, sin θ) coordinates on the unit circle. Reference angle + quadrant.
Result
(cos θ, sin θ)
(0.5000, 0.8660)
Quadrant I · ref angle 60.00°.
- θ (degrees)60.0000°
- θ (radians)1.047198
- cos θ (x)0.50000000
- sin θ (y)0.86602540
- tan θ1.73205081
- QuadrantI
- Reference angle60.0000°
- Normalized60.0000°
Step-by-step
- θ in radians = 1.0472.
- (cos θ, sin θ) = (0.5000, 0.8660).
- Quadrant I; reference angle = 60.0000°.
How to use this calculator
- Enter angle and pick unit.
- Read (cos, sin), quadrant, and reference angle.
About this calculator
The unit circle is the circle of radius 1 centered at origin. Any angle θ corresponds to a point (cos θ, sin θ) on the circle. Quadrant I (0-90°): both positive. II (90-180°): sin+, cos−. III (180-270°): both−. IV (270-360°): sin−, cos+. Reference angle = the acute angle to the x-axis. Memorizing "famous" angles (30°, 45°, 60°) and their exact cos/sin values is foundational trig.
Frequently asked
The acute angle between the terminal side and the x-axis. Always between 0° and 90°. Used to find trig values via known quadrant rules.
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