Interactive Unit CircleDrag the angle, see sin, cos and tan.

Move the point around the circle and watch sine, cosine and tangent change as coloured lengths.
Special angles show exact values such as √2/2 and π/4, in degrees or radians.

Exact valuesDegrees & radiansFree

No sign-up Unlimited use Remembers your numbers

Calculated on your device. What you type is not sent anywhere.

THREE SIMPLE STEPS

How to use the Unit Circle

Pick an angle

Drag the point, tap a special angle such as 45° or 2π/3, or type an angle in degrees or radians.

Read the values

sin θ is the red height, cos θ the blue width and tan θ the green line on the right, with exact values at the special angles.

Learn the pattern

See the quadrant, the reference angle and where θ falls on the sine and cosine waves.

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Unit Circle FAQ

What is the unit circle?

The circle of radius 1 centred at the origin. A point on it at angle θ has coordinates (cos θ, sin θ), so the circle shows sine and cosine for every angle at once.

Does it show exact values?

Yes. At every multiple of 15° (π/12) it shows the exact value, such as sin 60° = √3/2 or tan 15° = 2 − √3, next to the decimal.

Can I use radians?

Yes. Switch to radians to label the circle with π/6, π/4, π/3 and so on, and type angles like 3π/4.

Why is tan 90° undefined?

tan θ = sin θ / cos θ, and cos 90° = 0. The green tangent line becomes vertical and never meets the line x = 1.

Is it free?

Yes. Free, no sign-up, and it runs in your browser. Switch to Graph to plot sin, cos and tan as functions.

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