Math

Unit Circle Calculator

Sine, cosine and tangent of any angle.

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Results
Coordinates
(-0.707107, 0.707107)
sin θ
0.707107
cos θ
-0.707107
tan θ
-1
Radians
2.356194
Quadrant
Q2

Quick answer

On the unit circle, a point at angle θ has coordinates (cos θ, sin θ), and tan θ is their ratio.

(x, y) = (cos θ, sin θ)

How to use the Unit Circle Calculator

  1. 1Enter the angle.
  2. 2Choose degrees or radians.
  3. 3Read the trig values and quadrant.

Frequently asked questions

Why is tan undefined at 90°?

Cosine is zero there, so the ratio divides by zero.

What are the common angles?

0, 30, 45, 60 and 90 degrees have exact surd values worth memorising.