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Understanding Tangent Function: Graphs and Reciprocals

Learn about the general tangent curve, its middle point, graph factors, period, amplitude, and reciprocal functions like csc(x) and sec(x). This guide includes examples and detailed explanations for better comprehension.

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Understanding Tangent Function: Graphs and Reciprocals

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  1. 7.9 Graph of Tangent Function

  2. Graph of y = tanx x y 1 –1 Period = 𝝅 Amplitude = not defined

  3. General Tangent Curve middle point of graph

  4. Ex 1) Graph Factor out b Check Period: b c a d = = = 2 = 0 2 (middle) –2 Per = IL: Check a point:

  5. Ex 2) Graph Check Period: b c a d = 1 = = –3 = 0 3 (middle) –3 Per = π IL: Check a point:

  6. Graph of y = cscx Reciprocal of sine Graph sine first cscx is und when sin x = 0 cscx = 1 when sin x = 1 cscx = 2 when sin x = ½ cscx = –1 when sin x = –1 cscx = –2 when sin x = –½ 1 –1 Amp is undefined Period = 2π

  7. Graph of y = secx Reciprocal of cosine Graph cosine first sec x is und when cosx is 0 sec x = 1 when cosx = 1 sec x = 2 when cosx = ½ sec x = –1 when cosx = –1 sec x = –2 when cosx = –½ 1 –1 Amp is undefined Period = 2π

  8. Homework #722 Pg. 454 42, 44 Pg. 465 5, 6, 15, 17, 18, 19, 22, 29 – 34 all

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