Posts Tagged ‘y’
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 »
Tuesday, October 20th, 2009
An Overview of Basic Graphs
Description
A detailed tutorial on seven different basic graphs. Step by step tutorial including several visual examples of seven different basic graphs for reference.
Overview
A lot of time in any math class is devoted to the subject of graphs and graphing. But forming a graph when you are only given an equation can be difficult – unless you have some basic graphs memorized. Once you have these seven graphs memorized, it is very easy to follow the patterns in the equation and and simply fix your basic graphs to fit these new requirements. The basic graphs are the most basic patterns that x can be found in on any function – this is x, x squared, and x cubed. There is also the absolute value of x, the natural log of x, and the exponential function of x. The last one is one divided by x, which while not being a basic form of x, is a very important form.
Tags: absolute value, basic, cubed, divided, equation, exponent, exponential function, function, graph, logarithm, natural log, squared, trigonometry, x, y
Posted in Trigonometry | No Comments »
Friday, October 16th, 2009
How to Find Values of Quadrantal Angles
Description
A detailed tutorial on how to find values of quadrantal angles. Step by step tutorial including several examples of finding values of quadrantal angles for reference.
Overview
Quadrantal angles have a terminal side coinciding with a coordinate axis. A trigonometric functional value of such an angle can be determined by the coordinates of the point where the terminal side intersects the unit circle. When on the unit circle, the Cartesian coordinate (x, y) cooresponds to (cos(&), sin(&)) on the unit circle.
Tags: angle, axis, circle, coordinate, cosine, functional, Geometry, Math, point, quadrantal, sine, terminal, trigonometric, unit, value, x, y
Posted in Geometry | No Comments »
Tuesday, October 13th, 2009
How to Locate the Origin of a Graph
Description
A detailed tutorial on locating the origin of a graph. Step by step tutorial including several examples of how to locate the origin for reference.
Overview
The origin in mathematical terms means the center. Typically, the term origin is used with a graph in the Cartesian coordinate system. When on a graph, the origin is found at the point (0, 0), where the x-axis and y-axis intersect. Other common things to hear an origin being attributed to are geometrical shapes, most often a circle.
Tags: arithmetic, axis, cartesian, center, circle, coordinate, geometrical, graph, intersect, Math, middle, origin, shape, x, y
Posted in Arithmetic | No Comments »
Thursday, October 8th, 2009
Inverse Variation Explained
Description
A detailed tutorial on inverse variation. Step by step tutorial including several examples of inverse variation and what inverse variation is for reference.
Overview
Inverse variation states that two variables are inversely proportional if one of the variables is directly proportional with the multiplicative inverse of the other, or equivilently if their product is a constant. Inverse variation can be expressed mathematically as y = k / x, where x and y are the variables and k is a nonzero constant
Tags: constant, direct, division, inverse, k, Math, multiplicative inverse, non-zero, proportionality, reciprocal, statistics, variable, variation, x, y
Posted in Statistics | No Comments »
Thursday, October 8th, 2009
Direct Variation Explained
Description
A detailed tutorial on direct variation. Step by step tutorial including several examples of direct variation and what direct variation is for reference.
Overview
Direct variation states that given two variables x and y, y is directly proportional to x if there is a non-zero constant k such that y = k * x. The variable k is referred to as the proportionality constant or the constant of proportionality.
Tags: constant, direct, inverse, k, Math, non-zero, proportionality, statistics, variable, variation, x, y
Posted in Statistics | No Comments »
Thursday, October 8th, 2009
Combined Variation Explained
Description
A detailed tutorial on combined variation. Step by step tutorial including several examples of combined variation and what combined variation is for reference.
Overview
Combined variation refers to using both direct variation and inverse variation at the same time. Combined variation can be expressed as y = (k * x) / (z^2). Typically when both direct and inverse variation are being used, the same variable will variate directly at one point and inversely at another.
Tags: combine, combined variation, direct, inverse, k, Math, point, statistics, variable, variation, x, y, z
Posted in Statistics | No Comments »
