2_7notes - Math 114 Section 2.7 Graphs of Tangent Cotangent...

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Math 114 Section 2.7 Graphs of Tangent, Section 001 Cotangent, Secant and Cosecant Functions A. Basic Tangent and Cotangent Graphs Recall that both the tangent and cotangent functions are periodic; that is, every input value that is π radians apart, has the same output value. When we begin to look at the graph of tangent, we only need to focus on - 2 , 2 π π . The rest of the graph will consist of repetitions of this portion of the graph. Graph of . tan x y = Properties of the Tangent Function 1. The domain is ( 29 - , except k π π + 2 where k is an integer. 2. The range is ( 29 - , . 3. The tangent function is an odd function (symmetric about the origin). 4. The tangent function has period π. 5. The x-intercepts are … - π, 0, π. …. 6. Vertical asymptotes occur at … 2 3 , 2 , 2 π π π - …. When we begin to look at the graph of cotangent, we only need to focus on ( 29 π , 0 . The rest of the graph will consist of repetitions of this portion of the graph.

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Graph of . cot x y =
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