📐Unit Circle Calculator

Interactive unit circle showing sine, cosine, and tangent values.

Deg	Rad	Sin	Cos	Tan
0°	0	0	1	0
30°	π/6	1/2	√3/2	1/√3
45°	π/4	√2/2	√2/2	1
60°	π/3	√3/2	1/2	√3
90°	π/2	1	0	∞
120°	2π/3	√3/2	-1/2	-√3
135°	3π/4	√2/2	-√2/2	-1
150°	5π/6	1/2	-√3/2	-1/√3
180°	π	0	-1	0
210°	7π/6	-1/2	-√3/2	1/√3
225°	5π/4	-√2/2	-√2/2	1
240°	4π/3	-√3/2	-1/2	√3
270°	3π/2	-1	0	∞
300°	5π/3	-√3/2	1/2	-√3
315°	7π/4	-√2/2	√2/2	-1
330°	11π/6	-1/2	√3/2	-1/√3
360°	2π	0	1	0

About Unit Circle Calculator

Explore the unit circle interactively and instantly look up sine, cosine, and tangent values for any angle in degrees or radians. The unit circle is the foundation of trigonometry, and this visual tool makes it easy to understand how angles relate to trig values and to verify calculations during homework or exam prep.

How to Use Unit Circle Calculator

1
Step 1
Click or drag on the unit circle to select an angle, or type an angle into the input field.
2
Step 2
Read the sine, cosine, and tangent values displayed for the selected angle.
3
Step 3
Toggle between degrees and radians to compare representations.

Common Use Cases

Learning trigonometric values for all standard angles in precalculus
Verifying sine and cosine values during trigonometry homework
Understanding the relationship between angles and coordinates on the unit circle
Studying for calculus exams that require fluency with trig functions

Frequently Asked Questions

What is the unit circle used for?

The unit circle defines the sine, cosine, and tangent of angles from 0° to 360°. It's fundamental to trigonometry, calculus, and understanding periodic functions.

Can I view values in both degrees and radians?

Yes. Toggle between degrees and radians to see how both representations correspond to the same point on the circle.

Does the tool show all special angle values?

Yes. Special angles (30°, 45°, 60°, 90°, and their equivalents) are highlighted with exact fraction values like √2/2 and √3/2.