Unit Circle Calculator — sin, cos & tan at Any Angle
Quick answer: Enter any angle (or click a common angle) to get sin, cos, tan, quadrant, and the unit circle point.
Find the exact sin, cos, and tan values for any angle using the unit circle. Enter any angle in degrees and get the quadrant, reference angle, radian equivalent, and the corresponding point (cos θ, sin θ) on the unit circle. Includes quick-select buttons for all 16 common unit circle angles.
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Last reviewed: April 2026Report an error
= 0.523599 rad
sin / cos
(0.866025, 0.5)
At 30°: sin = 0.5, cos = 0.866025, tan = 0.57735. Quadrant 1. Reference angle: 30°.
sin
0.5
cos
0.866025
tan
0.57735
Quadrant
1
Radians
0.523599
Ref. Angle
30°
Point (x,y)
(0.866, 0.5)
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How to Use This Unit Circle Calculator
- 1Enter an angle in degrees, or click one of the common angle buttons (0°, 30°, 45°, etc.).
- 2Read sin, cos, and tan values.
- 3Note the quadrant and reference angle.
Frequently Asked Questions
- A circle with radius 1 centered at the origin. For any angle θ, the point on the unit circle is (cos θ, sin θ). This is why sin²θ + cos²θ = 1.
- 0°: (1,0). 30°: (√3/2, 1/2). 45°: (√2/2, √2/2). 60°: (1/2, √3/2). 90°: (0,1). 180°: (−1,0). 270°: (0,−1). 360°: (1,0).
- The acute angle between the terminal side of your angle and the x-axis. Reference angles are always 0°–90° and have the same trig values (ignoring sign) as the original angle.
- In Q1 and Q2 the y-coordinate (sin) is positive. The reference angle has the same sin magnitude; only the sign changes between quadrants.
- Memorizing trig values, understanding periodicity, graphing trig functions, solving trig equations, and deriving trig identities.
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