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education/math/MATH1060 (trig)/The Unit Circle.md
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@ -11,10 +11,11 @@ $$ cos(\theta) = x $$
$$ sin(\theta) = y $$ $$ sin(\theta) = y $$
## Sine and Cosine ## Sine and Cosine
| Angle | $0$ | $\frac{\pi}{6}$ or $30 \degree$ | $\frac{\pi}{4}$ or $45\degree$ | $\frac{\pi}{2}$ or $90\degree$ | | Angle | $0$ | $\frac{\pi}{6}$ or $30 \degree$ | $\frac{\pi}{4}$ or $45\degree$ | $\frac{\pi}{2}$ or $90\degree$ |
| ----- | --- | ------------------------------- | ------------------------------ | ------------------------------ | | ------ | --- | ------------------------------- | ------------------------------ | ------------------------------ |
| | | | | | | Cosine | 1 | $\frac{\sqrt{3}}{2}$ | $\frac{\sqrt{2}}{2}$ | $0$ |
| | | | | | | Sine | 0 | $\frac{1}{2}$ | $\frac{\sqrt{2}}{2}$ | <br>$1$ |
![image]()
## The Pythagorean Identity ## The Pythagorean Identity
The Pythagorean identity expresses the Pythagorean theorem in terms of trigonometric functions. It's a basic relation between the sine and cosine functions. The Pythagorean identity expresses the Pythagorean theorem in terms of trigonometric functions. It's a basic relation between the sine and cosine functions.

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