How To Easily Remember The Unit Circle

How To Easily Remember the Unit Circle

I work in a walk-in tutor lab at my university and one of the other tutors showed me this a couple years back and it has changed my life.

First, you make a table that looks like this.

How To Easily Remember The Unit Circle

Then, go ahead and add in some nice denominators of 2 in every entry in the table.

How To Easily Remember The Unit Circle

Then give yourself some nice square roots on the numerators.

How To Easily Remember The Unit Circle

Alright – now we’re going to fill it in. The only value you have to remember is that sin(0)=0. So we put 0 in the numerator for 0 in the sine column. Then we just count up as we move down.

How To Easily Remember The Unit Circle

Then we do the opposite in the cosine column.

How To Easily Remember The Unit Circle

Then we simplify!

How To Easily Remember The Unit Circle

And voila – a beautiful unit circle table. 

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Full-time Computer Science student, reader, and gamer with a comics addiction.

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