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Understanding Tangent and Cotangent Functions: Properties and Transformations

Learn about the properties and transformations of tangent and cotangent functions, including amplitude, period, and phase shift. Explore how these functions relate to sine and cosine.

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Understanding Tangent and Cotangent Functions: Properties and Transformations

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  1. tangent and cotangent functions

  2. y = tan(x) y = cos(x)

  3. y = tan(x) Amp/stretch = 1 Period = π Phase shift = 0

  4. y = cot(x) y = sin(x)

  5. y = cot(x) Amp/stretch = 1 Period = π Phase shift = 0

  6. squeeze squeeze y = tan(2x+π) π/2 y = cos(x)

  7. y = tan(2x+π) π/2

  8. y = tan(2x+π) π/2 Amp/stretch = 1 Period = π/2 Phase shift = - π/2

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