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Trigonometric Graphing Day 2 Graphs

Learn how to graph trigonometric functions like secant, cosecant, tan, and cot, understanding their periodicity, shifts, and asymptotes. Discover the relationships between sine, cosine, csc, and sec functions.

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Trigonometric Graphing Day 2 Graphs

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  1. Trigonometric GraphingDay 2 Graphs

  2. The other 4 Lets Remember Cot is the opp of? Csc is the opp of? Sec is the opp of? Tan Sin Cos

  3. How do trends hold here? They will hold pretty much the same way – seeing shifts left, right, up, down and seeing changes in periodicity.

  4. Basic Truths The period of both y = sec x and y = csc x is 2π. (makes sense, right?) The period of y = tan x and y = cot x is π. We really don’t talk about amplitude of these four functions.

  5. Cot x Graph does continue Done same way has Tan Except Graph is REVERSED Asymptote Lets plot some points x y 1 0 -1

  6. Graphing CSC x and Sec x • Csc is the opposite of Sin • Sec is the opposite of Cos • We will use the sin and cos graph to help us graph Csc and Sec. • Csc will have Asymptotes when Sin=0 • Sec will have Asymptotes when Cos=0

  7. Csc x Lets draw the Sin gragh first x y 1 Csc Asym 0 -1

  8. Sec x Lets do Cos x first x y 1 0 Sec Asym -1

  9. Example Convert to sin

  10. Examples Graph the following completely 1. 2. 3. 3 Volunteers

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