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Understanding Graphs of Trig Functions | Explore Amplitude, Period, and Asymptotes

Learn how to graph trigonometric functions like tangent, cotangent, secant, and cosecant with varying amplitudes, periods, and vertical asymptotes. Discover the range and domain of each function in detail.

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Understanding Graphs of Trig Functions | Explore Amplitude, Period, and Asymptotes

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  1. Chapter 4: Lesson 4.6Graphs of Other Trig Functions Amplitude = NA Period = π Domain: ARN except Range: {ARN} Vertical Asymptote: y = tan x or y = 1 tan (1x - 0) + 0

  2. y = cot x or y = 1 cot (1x - 0) + 0 Amplitude = NA Period = π Domain: ARN except x ≠ πn Range: {ARN} Vertical Asymptote: x = πn

  3. y = csc x or y = 1 csc (1x - 0) + 0 Amplitude = NA Period = 2π Domain: ARN except x ≠ πn Range: (-∞, -1] or [1, ∞) Vertical Asymptote: x = πn

  4. Amplitude = NA Period = 2π Domain: ARN except Range:(-∞, -1] or [1, ∞) Vertical Asymptote: y = sec x or y = 1 sec (1x - 0) + 0

  5. Graph each y = 2 tan (x + π) + 3 y = 3 cot (x - π/2) – 1 y = 1/2 csc (2x - π) + 2 y = 4 sec (x + π/4) – 4

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