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education/math/MATH1060 (trig)/The Unit Circle.md
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@ -18,6 +18,15 @@ $$ sin(\theta) = y $$
![image](./assets/unitcirc.png) ![image](./assets/unitcirc.png)
Finding a reference angle:
| Quadrant | Formula |
| -------- | --------------------- |
| 1 | $\theta$ |
| 2 | $180\degree - \theta$ |
| 3 | $\theta - 180\degree$ |
| 4 | $360\degree - \theta$ |
## 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.
$$ sin^2 \theta + cos^2 \theta = 1 $$ $$ sin^2 \theta + cos^2 \theta = 1 $$