Unit Circle Calculator

Well, it depends what you want to memorize 🙃 There are two things to remember when it comes to the unit circle:

Angle conversion, so how to change between an angle in degrees and one in terms of π\piπ (unit circle radians); and

The trigonometric functions of the popular angles.

Let's start with the easier first part. The most important angles are those that you'll use all the time:

As these angles are very common, try to learn them by heart ❤️. For any other angle, you can use the formula for angle conversion:

Conversion of the unit circle's radians to degrees shouldn't be a problem anymore! 💪

The other part – remembering the whole unit circle chart, with sine and cosine values – is a slightly longer process. We won't describe it here, but feel free to check out 3 essential tips on how to remember the unit circle or this WikiHow page. If you prefer watching videos 🖥️ to reading 📘, watch one of these two videos explaining how to memorize the unit circle:

Also, this table with commonly used angles might come in handy:

α\mathrm{\boldsymbol{\alpha}}α (angle)

Trigonometric functions

deg\mathrm{deg}deg

rad\mathrm{rad}rad

sin⁡(α)\sin(\alpha)sin(α)

cos⁡(α)\cos(\alpha)cos(α)

tan⁡(α)\tan(\alpha)tan(α)

30°30\degree30°

π/6\pi/6π/6

1/21/21/2

3/2\sqrt{3}/23​/2

3/3\sqrt{3}/33​/3

45°45\degree45°

π/4\pi/4π/4

2/2\sqrt{2}/22​/2

2/2\sqrt{2}/22​/2

111

60°60\degree60°

π/3\pi/3π/3

3/2\sqrt{3}/23​/2

1/21/21/2

3\sqrt{3}3​

And if any methods fail, feel free to use our unit circle calculator – it's here for you, forever ❤️ Hopefully, playing with the tool will help you understand and memorize the unit circle values!