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Tangent Function

"In right triangle trigonometry (for acute angles only), the tangent is defined as the ratio of the opposite side to the adjacent side. The unit circle definition is tan(theta)=y/x or tan(theta)=sin(t ...

Graphing Transformations

"There are many different transformations, and graphing transformations is different depending on what type it is. One of the most basic types of transformations is y = a·f(x) + b. Graphing transforma ...

Graphing Transformation

"There are different types of graphing transformation, one of which is subtraction a constant from the independent variable. This type of graphing transformation can be written as y = f(x - h). For th ...

Graphing Reciprocal Trigonometric Functions

"The three cofunction identities are useful because they can be used to convert, for example, sine into cosine or any trig function into its cofunction. When graphing reciprocal trigonometric function ...

Graphing Rational Functions, n less than m

"There are different characteristics to look for when graphing rational functions. When graphing rational functions where the degree of the numerator function is less than the degree of denominator fu ...

Graphing Polynomial Functions

"Graphing higher degree polynomial functions can be more complicated than graphing linear and quadratic functions. When graphing polynomial functions, we can identify the end behavior, shape and turni ...

Graphing Polar Equations

"The most basic method of graphing polar equations is by plotting points and doing a quick sketch. Graphing polar equations is a skill that requires the ability to plot points and sometimes recognize ...

Graphing Holes

"Rational functions have points where they are undefined, which introduces us to graphing holes in the function. Graphing holes involves being able to find these points. A rational function is a quoti ...

Graph Symmetry

"There are special types of functions that have graph symmetry. The most notable types are even and odd functions. Even functions have graph symmetry across the y-axis, and if they are reflected, will ...

Square Matrix Inverse

"We use the identity matrix to calculate a square matrix inverse. In order to be invertible, a matrix must be square, and by finding the square matrix inverse, we can find the solution of a system of ...

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