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Unit Circle Trigonometry

from C​-​Sections by icanhasmath

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lyrics

Zero, π over 6 and more,
The next one to know is π over 4,
Then π over 3 and π over 2,
Are all of the radians I’ll tell to you!

r is 1, circumference is π times 2

O, thirty, forty-five, sixty, ninety!
That’s why I love unit circle Trigonometry.
O, thirty, forty-five, sixty, ninety!
That’s why I love unit circle Trigonometry.

The x’s are 1, square root of 3-
Over 2 horizontal they must be.
Square root of 2 over 2 and next are,
One half and zero the stately x.

Secretly they’re cosine but that’s coming next.

O, thirty, forty-five, sixty, ninety!
That’s why I love unit circle Trigonometry.
O, thirty, forty-five, sixty, ninety!
That’s why I love unit circle Trigonometry.

Zero, one half, and square-root of 2-
Over 2, that’s "y" I’m telling you,
Square-root of 3 over 2 and 1.
Sine is the height at any radian,

The square-root of 4 over 2 is 1!

O, thirty, forty-five, sixty, ninety!
That’s why I love unit circle Trigonometry.
O, thirty, forty-five, sixty, ninety!
That’s why I love unit circle Trigonometry.

Now there are three other quadrants to
The unit circle that is in your view,
I’m not going to sing them,
You can work them through,
And while you are doing that I’ll say to you:

r COSINE is X!…And r SINE is Y!
So we all love unit circle Trigonome - tri!

r COSINE is X!…And r SINE is Y!
So we all love unit circle Trigonome - tri!

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from C​-​Sections, released October 22, 2009

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