Unit Circle Calculator

Calculate unit circle values, angles, and trigonometric functions. Free online unit circle calculator with step-by-step solutions.

Calculator

Unit Circle Calculator

Calculate unit circle values, angles, and trigonometric functions instantly. Get step-by-step solutions and detailed explanations for better understanding of trigonometry.

Unit Circle Calculator

Unit Circle Values

Enter an angle above to see the unit circle values.

How to Use

  1. Select the angle unit (degrees or radians)
  2. Enter the angle value in the input field
  3. Click "Calculate Unit Circle Values" to get the results
  4. View the trigonometric function values and coordinates

Examples

30° (π/6 radians):

sin(30°) = 0.5, cos(30°) = 0.866, tan(30°) = 0.577

45° (π/4 radians):

sin(45°) = 0.707, cos(45°) = 0.707, tan(45°) = 1

Features

  • • Calculate sin, cos, tan values
  • • Convert between degrees and radians
  • • Unit circle coordinates
  • • Step-by-step solutions
  • • Free to use
  • • No registration required

Perfect For

  • • Students learning trigonometry
  • • Math homework help
  • • Professional calculations
  • • Quick trigonometric values
  • • Understanding unit circle
  • • Exam preparation

Frequently Asked Questions

What is the unit circle?

The unit circle is a circle with radius 1 centered at the origin (0,0) in the coordinate plane. It's used to define trigonometric functions for all angles.

How do I find sin, cos, and tan values?

For any angle θ, the point (cos θ, sin θ) lies on the unit circle. Tan θ = sin θ / cos θ. The calculator shows these values for any angle.

What are radians and degrees?

Degrees and radians are units for measuring angles. 360° = 2π radians. The calculator can work with both units and convert between them.