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Tangent Ratios

"Right triangles have ratios that are used to represent their base angles. Tangent ratios, along with cosine and sine ratios, are ratios of two different sides of a right triangle. Tangent ratios are ...

Tangent Function Graph

"For a tangent function graph, create a table of values and plot them on the coordinate plane. Since tan(theta)=y/x, whenever x=0 the tangent function is undefined (dividing by zero is undefined). Th ...

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 ...

Half Angle Identities

"The half angle identities come from the power reduction formulas using the key substitution alpha=theta/2 twice, once on the left and right sides of the equation. With half angle identies, on the lef ...

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 ...

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