🔢Free Online Calculators

⭕ Unit Circle Calculator

Explore the unit circle interactively: angles → (x, y), sin, cos, tan.

Unit Circle Calculator

Coordinates (x, y)
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Quadrant
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sin(θ)
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cos(θ)
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tan(θ)
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Reference Angle
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The unit circle is a circle with radius 1 centered at the origin. It's fundamental to trigonometry because the coordinates of any point on the unit circle are (cos(θ), sin(θ)), where θ is the angle. Our interactive unit circle calculator lets you explore angles and see their corresponding coordinates and trigonometric values.

Key Points

Important angles on the unit circle.

0°: (1, 0)
At 0°, cos = 1, sin = 0.
90°: (0, 1)
At 90°, cos = 0, sin = 1.
180°: (-1, 0)
At 180°, cos = -1, sin = 0.
270°: (0, -1)
At 270°, cos = 0, sin = -1.

Use Cases

Common applications of the unit circle.

🎓

Education

  • Understanding trigonometric functions
  • Learning angle relationships
  • Visualizing sin and cos
📐

Problem Solving

  • Finding exact trigonometric values
  • Understanding quadrants
  • Working with reference angles

Frequently Asked Questions

Common questions about the unit circle.

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Last updated: 2025-10-21 — Compiled and reviewed by Calvin (Math Research, FreeCalculators.app)