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Unformatted text preview: 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 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 . 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 + 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 . 5. The x-intercepts are - , 0, . . 6. Vertical asymptotes occur at 2 3 , 2 , 2 - . When we begin to look at the graph of cotangent, we only need to focus on ( 29 , . The rest of the graph will consist of repetitions of this portion of the graph. Graph of...
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- Spring '08