Sullivan Precalculus: Section 5.5 Graphs of the Tangent, Cotangent, Secant, and Cosecant Functions Objectives of this Section Graph Transformations of.

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Presentation transcript:

Sullivan Precalculus: Section 5.5 Graphs of the Tangent, Cotangent, Secant, and Cosecant Functions Objectives of this Section Graph Transformations of the Tangent and Cotangent Functions Graph Transformations of the Cosecant and Secant Functions

The Graph of y = tan x x y

(0, 0)

Characteristics of the Tangent Function 1. The domain is the set of all real numbers, except odd multiples of 2. The range consists of all real numbers. 3. The tangent function is an odd function (symmetric with respect to the origin).

Characteristics of the Tangent Function

The graphs of the other three trig functions can be obtained from the graphs of their respective reciprocal functions. For example: