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Unit circle

An interactive unit circle with sine, cosine, tangent and exact values.

  • Free
  • No sign-up
  • Works on any device

About Unit circle

An interactive circle of radius 1 where you drag a point to see the angle with its sine, cosine and tangent, plus the exact values for angles like 30, 45 and 60 degrees. The point's x coordinate is cosine and its y coordinate is sine, so tan = y / x.

How to use Unit circle

  1. Enter your numbers above.
  2. The result updates instantly as you type.
  3. Change any value to compare different cases.

Why use this tool?

Also known as

Frequently asked questions

What are the exact values of sin and cos at 45 degrees?

Both equal root 2 over 2, about 0.7071, because the point lies on the line y = x. Tangent is therefore 1.

Is Unit circle free?

Yes. Unit circle on Toolipedia is free to use, with no sign-up and no watermark.

Is it safe to use?

Yes. Everything is worked out in your browser, and nothing you enter is sent to our server.

Does it work on my phone?

Yes. It works in any modern browser on Android and iPhone, as well as on tablets and computers. There's nothing to install.

Do I need an account?

No. Just open the page and use the tool. There's no sign-up and no email needed.

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