vault backup: 2024-09-26 08:27:06

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

@@ -15,3 +15,16 @@ Given the above graph:
 A function is considered periodic if it repeats itself at even intervals, where each interval is a complete cycle, referred to as a *period*.
 
 
+# Sinusoidal Functions
+A function that has the same shape as a sine or cosine wave is known as a sinusoidal function.
+
+Given a function in the form:
+$$ A * sin(B*x - C) + D $$
+
+| Variable | Meaning                                                                                       |
+| -------- | --------------------------------------------------------------------------------------------- |
+| $A$      | The amplitude of a function can be found by taking $\|A\|$. The sign flips it over the x axis |
+| $B$      | Horizontal, or phase                                                                          |
+
+
+$$ y = A * \sin(B(x-\frac{C}{B})) $$