vault backup: 2024-09-30 10:48:24

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# Sine/Cosine
![A graph of sine and cosine](./assets/graphsincos.png)
Given the above graph:
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| $y = cos(2x)$ | Horizontal shrink by a factor of 2 |
# Periodic Functions
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.
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- Vertical shift: $D$
$$ y = A * \sin(B(x-\frac{C}{B})) $$
$$ y = A * \sin(B(x-\frac{C}{B})) $$
# Tangent/Cotangent