Unit Circle Calculator
Unit Circle Coordinates
Find (cos θ, sin θ) and all trig values for an angle
Common Angle Lookup
Look up exact values for standard unit circle angles
Formula
Point on unit circle: (cos θ, sin θ) | x²+y²=1 | Reference angle determines the absolute values
Frequently Asked Questions
What is the unit circle?
The unit circle is a circle with radius 1 centered at the origin. For any angle θ, the point on the unit circle is (cos θ, sin θ). It provides a geometric way to understand trig functions for all angles, not just those in right triangles.
What are the key angles to memorize?
Memorize 0°, 30°, 45°, 60°, 90° and their multiples. Key coordinates: 30° → (√3/2, 1/2), 45° → (√2/2, √2/2), 60° → (1/2, √3/2). Other angles use the same values with appropriate signs based on quadrant.
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