vault backup: 2024-09-23 11:51:45

education/math/MATH1060 (trig)/Graphing.md

@@ -0,0 +1,10 @@
+![A graph of sine and cosine](./assets/graphsincos.png)
+
+Given the above graph:
+- At the origin, $sin(x) = 0$ and $cos(x) = 1$
+- A full wavelength takes $2\pi$
+
+# Manipulation
+| Formula            | Movement |
+| ------------------ | -------- |
+| $ y = cos(x) - 1 $ |          |

education/math/MATH1060 (trig)/Identities.md

@@ -65,4 +65,6 @@ Applying the exponent gives us $\frac{49}{625}$, so we can do this:
 $$ \frac{625}{625} - \frac{49}{625} = \frac{576}{625} = sin^2\theta $$
 
 Getting rid of the exponent:
-$$ \sqrt{\frac{576}{625}} = $$
+$$ \sqrt{\frac{576}{625}} = \frac{24}{25} = sin\theta $$
+
+From there, you can find the rest of the identities fairly easily.