From 3f0d3f544a0ad5cc4fa251dbafb368668c3b2b5f Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Giovanni=20Vison=C3=A0?= Date: Mon, 23 Oct 2017 07:47:26 +0200 Subject: [PATCH] Added article for amplitude-and-period-of-sinusoidal-functions-from-equation (#1365) Wrote a small article for the math entry Amplitude and Period of Sinusoidal Functions from Equation in the guides --- .../index.md | 27 +++++++++++++++---- 1 file changed, 22 insertions(+), 5 deletions(-) diff --git a/src/pages/mathematics/amplitude-and-period-of-sinusoidal-functions-from-equation/index.md b/src/pages/mathematics/amplitude-and-period-of-sinusoidal-functions-from-equation/index.md index 6ccb81ec5cc..6c4356eef5a 100644 --- a/src/pages/mathematics/amplitude-and-period-of-sinusoidal-functions-from-equation/index.md +++ b/src/pages/mathematics/amplitude-and-period-of-sinusoidal-functions-from-equation/index.md @@ -3,13 +3,30 @@ title: Amplitude and Period of Sinusoidal Functions from Equation --- ## Amplitude and Period of Sinusoidal Functions from Equation -This is a stub. Help our community expand it. +The **generic equation** for a sinusoidal function is: -This quick style guide will help ensure your pull request gets accepted. +![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. -#### More Information: - +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](https://www.mathsisfun.com/algebra/amplitude-period-frequency-phase-shift.html) +* [Wikipedia: Sine Wave](https://en.wikipedia.org/wiki/Sine_wave)