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5.4: More Trigonometric Graphs

5.4: More Trigonometric Graphs . TSW understand the graphs of tangent, cotangent, secant, and cosecant, their periodicity, and their transformations at an 85% mastery level as demonstrated by discussion and practice. Periodic Properties. Tangent and Cotangent have period π:

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5.4: More Trigonometric Graphs

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  1. 5.4: More Trigonometric Graphs TSW understand the graphs of tangent, cotangent, secant, and cosecant, their periodicity, and their transformations at an 85% mastery level as demonstrated by discussion and practice.

  2. Periodic Properties Tangent and Cotangent have period π: Cosecant and Secant have period 2 π:

  3. Discontinuity Tangent and Secant are not continuous at where n is an integer Cotangent and Cosecant are not continuous at where n is an integer Therefore, vertical asymptotes occur at these values on their graphs

  4. Graphs TangentCotangent

  5. Graphs CosecantSecant

  6. Graphing Curves The functions y = a tan kx and y = a cot kx have period:π/k Ex: Graph each function. a. b.

  7. Graphing Curves The functions y = a csc kx and y = a sec kx have period: 2π/k Ex: Graph each function. a. b. c.

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