What is the unit circle?

It is a circle of radius 1 centered at the origin. For any angle, the cosine is the x-coordinate and the sine is the y-coordinate of the point on the circle, which makes it the foundation of trigonometry.

Why does tangent go undefined at 90 degrees?

Tangent is sine divided by cosine, and at 90 degrees the cosine is zero. Drag the angle to 90 in the tool and you can watch the tangent value blow up as the cosine approaches zero.

Can I switch between degrees and radians?

Yes. A toggle switches the display instantly, so you can see that 30 degrees is the same position as pi over 6 radians.

Is this useful for homework?

Absolutely. It covers the special angles students need most (0, 30, 45, 60, 90 degrees and beyond) and shows exact values, not just decimals.

Do I need to sign up?

No. The unit circle tool is free and works immediately, fully in your browser.

Unit Circle - Free Online Trigonometry Tool | IconVault

Explore the unit circle: drag the angle and watch sin, cos and tan update live, with degrees and radians toggle. Free, runs in your browser.

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Unit Circle

Drag the angle, watch sin cos tan update live

5 of 5 free uses left

Angle

0°30° = 0.5236 rad360°

sin(30°)0.5

cos(30°)0.866

tan(30°)0.5774

The green line is cos, the blue line is sin. Drag the purple handle on the circle to change the angle.

5 of 5 free copies left.

About this tool

IconVault's Unit Circle is an interactive way to learn trigonometry. Drag the angle around the circle and watch sine, cosine and tangent update live, with the exact coordinate shown for every position. Toggle between degrees and radians at any time.

It is perfect for students checking homework on special angles like 30, 45 and 60 degrees, and for anyone who wants to finally see why the values behave the way they do. The tool is free and runs fully in your browser, no signup needed.

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Unit Circle - Free Online Trigonometry Tool | IconVault

Unit Circle

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