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title: Amplitude and Period of Sinusoidal Functions from Equation
---
## Amplitude and Period of Sinusoidal Functions from Equation
The **generic equation** for a sinusoidal function is:
![Generic Sinusoid Equation](https://github.com/viso-gio/HostedImages/blob/master/GenericSinusoid.png?raw=true)
Where *A* represents the **amplitude** of the oscillation, and *f* the **frequency**.
*Phi* is the **phase**, linked to the amount by which the sinusoid is shifted along the *x* axis.
*Omega* is the **angular frequency**, and represents the rate of oscillation as radians per second.
The **period** of the oscillation, *T*, is given by:
![Period](https://github.com/viso-gio/HostedImages/blob/master/PeriodFormula.png?raw=true)
A commonly found **alternative form** of the sinusoid is:
![Alternative Sinusoid Equation](https://github.com/viso-gio/HostedImages/blob/master/AlternativeSinusoid.png?raw=true)
In this case, the **amplitude** is calculated as:
![Alternative Amplitude](https://github.com/viso-gio/HostedImages/blob/master/AlternativeAmplitude.png?raw=true)
#### More Information:
For more informations visit:
* MathIsFun
* Wikipedia: Sine Wave