Amplitude, Period, Phase Shift and Frequency - Math is Fun
The Amplitude is the height from the center line to the peak (or to the trough). Or we can measure the height from highest to lowest points and divide that by 2. The Phase Shift is how far the function is shifted horizontally from the usual position.
19.2.3: Amplitude and Period - Mathematics LibreTexts
May 4, 2022 · Given any function of the form \(y=a \sin b x\) or \(y=a \cos b x\), you know how to find the amplitude and period and how to use this information to graph the functions. Given a graph of a sine or cosine function, you also can determine …
Cosine Amplitude and Period - Desmos
Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.
5.5: Graphs of the Sine and Cosine Functions
Apr 12, 2024 · Identify properties of a sinusoidal graph: amplitude, period, vertical shift, and phase shift. Construct a sinusoidal equation from a graph or a description
Amplitude, Period and Frequency - Trigonometry - Socratic
How do you write an equation of the cosine function with amplitude of 2, period of 2π/3, phase shift of π/6, and a vertical shift of 1? What is the period of the function #y= -2 cos(4x-pi) -5#? What is the period of the function #y = cos 4x#?
Trigonometric Graphs - Amplitude and Periodicity - Brilliant
Similarly, the graph of \(y=\cos(x)\) also has amplitude 1. The amplitudes of the basic trigonometric functions are as follows: \[\begin{array}{|c|c|} \hline \text{Function} & \text{Amplitude}\\ \hline \sin (\theta) , \cos( \theta ) &1 \\ \hline \csc (\theta) , \sec ( \theta) & \text{N/A} \\ \hline \tan (\theta), \cot ( \theta ) & \text{N/A ...
2.4: Transformations Sine and Cosine Functions
Mar 14, 2023 · Translate sine and cosine functions vertically and horizontally. Identify the vertical and horizontal translations of sine and cosine from a graph and an equation. Calculate the amplitude and period of a sine or cosine curve. Calculate the frequency of a sine or cosine wave.
6.1 Graphs of the Sine and Cosine Functions - OpenStax
Access these online resources for additional instruction and practice with graphs of sine and cosine functions. Amplitude and Period of Sine and Cosine; Translations of Sine and Cosine; Graphing Sine and Cosine Transformations; Graphing the Sine Function
1. Graphs of y = a sin x and y = a cos x - Interactive Mathematics
This quantity of a sine curve is called the amplitude of the graph. This indicates how much energy is involved in the quantity being graphed. Higher amplitude means greater energy.
Graphs of Sine, Cosine and Tangent - Math is Fun
Plot of Cosine. Cosine is just like Sine, but it starts at 1 and heads down until π radians (180°) and then heads up again. Plot of Sine and Cosine. In fact Sine and Cosine are like good friends: they follow each other, exactly π /2 radians (90°) apart. Plot of the Tangent Function.