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education/math/MATH1060 (trig)/The Unit Circle.md

@@ -11,10 +11,11 @@ $$ cos(\theta) = x $$
 $$ sin(\theta) = y $$
 
 ## 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 expresses the Pythagorean theorem in terms of trigonometric functions. It's a basic relation between the sine and cosine functions.