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

@@ -15,3 +15,21 @@ 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.
+
+There are 4 general functions:
+
+| $$A * sin(B*x - C) + D$$                  | $$ y = A * cos(B*x -c) + D$$           |
+| ----------------------------------------- | -------------------------------------- |
+| $$ y = A * sin(B(x - \frac{C}{B})) + D $$ | $$ y = A*cos(B(x - \frac{C}{B})) + D$$ |
+
+
+How to find the:
+- Amplitude: $|A|$
+- Period: $\frac{2\pi}{B}$
+- Phase shift: $\frac{C}{|B|}$
+- Vertical shift: $D$ 
+
+
+$$ y = A * \sin(B(x-\frac{C}{B})) $$