Posts Tagged ‘amplitude’
Tuesday, October 20th, 2009
How to Graph the Cotangent Function
Description
A detailed tutorial on solving the graph of the cotangent function. Step by step tutorial including several examples of how to solve the graph of the cotangent function for reference.
Overview
The graph of cotangent is very closely related to the graph of tangent and the graph of x cubed. The graph occurs in periods of pi, just like the tangent function. When graphing both the cotangent function and the tangent function together, they criss-cross to form an intricate looking curve. This is because tangent and cotangent are the opposite of each other - tangent is equal to one over cotangent.
Tags: amplitude, asymptote, cotangent, function, graph, intervals, period, pi, tangent, trigonometric, trigonometry, x, y
Posted in Trigonometry | No Comments »
Tuesday, October 20th, 2009
How to Graph the Cosecant Function
Description
A detailed tutorial on solving the graph of the cosecant function. Step by step tutorial including several examples of how to solve the graph of the cosecant function for reference.
Overview
The graph of cosecant is very closely related to the graph of secant. The graph appears to be many concave up and concave down curves placed in periods of 2pi. In reality, the local maximums and minimums on the graph of cosecant match up with the local maximums and minimums on the graph of sine, making it easy to line them up together. This is because sine and cosecant are the opposite of each other – sine is equal to one over cosecant.
Tags: amplitude, asymptote, cosecant, function, graph, intervals, maximum, minimum, period, pi, secant, sine, trigonometric, trigonometry, x, y
Posted in Trigonometry | No Comments »
Tuesday, October 20th, 2009
How to Graph the Secant Function
Description
A detailed tutorial on solving the graph of the secant function. Step by step tutorial including several examples of how to solve the graph of the secant function for reference.
Overview
The graph of secant is very closely related to the graph of cosecant. The graph appears to be many concave up and concave down curves placed in periods of 2pi. In reality, the local maximums and minimums on the graph of secant match up with the local maximums and minimums on the graph of cosine, making it easy to line them up together. This is because cosine and secant are the opposite of each other - cosine is equal to one over secant.
Tags: amplitude, asymptote, cosecant, cosine, function, graph, intervals, maximum, minimum, period, pi, secant, trigonometric, trigonometry, x, y
Posted in Trigonometry | No Comments »
Tuesday, October 20th, 2009
How to Graph the Tangent Function
Description
A detailed tutorial on solving the graph of the tangent function. Step by step tutorial including several examples of how to solve the graph of the tangent function for reference.
Overview
The graph of the tangent function looks a great deal like the graph of x cubed – just repeated several times. The graph of tangent is drawn in a period of pi – meaning a “line” is put down every pi spaces for a guideline on where to draw the graph – and hits all of the major points of the graph, also in intervals of pi. There is no amplitude of the tangent function because it extends up to both negative infinity and positive infinity in vertical directions.
Tags: amplitude, asymptote, function, graph, infinity, intervals, negative, period, pi, positive, tangent, trigonometric, trigonometry, vertical, x, y
Posted in Trigonometry | No Comments »
Friday, October 2nd, 2009
Introduction to Simple Harmonic Motion
Description
A detailed tutorial on simple harmonic motion. Step by step tutorial including several examples of simple harmonic motion for reference.
Overview
Simple harmonic motion is related to Hooke’s law – as what Hooke’s law does is measure harmonic motion. Simple harmonic motion is motion that is neither driven nor damped. It is one movement, one force. This motion can also be periodic. Simple harmonic motion is expressed by the equation:
Tags: amplitude, Calculus, constant, force, frequency, harmonic, Hooke's law, Math, motion, oscillator, period, periodic, phase, simple
Posted in Calculus | No Comments »
Tuesday, September 22nd, 2009
How to Solve the Helmholtz Equation
Description
A detailed tutorial on the visual representation of the Helmholtz Equation. Step by step tutorial including several examples of the visual representation of the Helmholtz Equation for reference.
Overview
The Helmholtz Equation is an elliptic partial differential equation, which can be used to calculate waves. It is similar to the wave and heat equations in that manner, but the formula is very different. The formula can be expressed as 
where k is the wavenumber and A is the amplitude. The Helmholtz Equation is often used for problems involving partial differential equations in both space and time.
Tags: amplitude, elliptic, helmholtz, helmholtz equation, partial differential equations, Physics, Science, space, time, wavenumber, waves
Posted in Differential Equations | No Comments »
