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Learning Goal

‹8 of 10 in this skill_area›

Graphs of sin, cos, tan (amplitude, period, phase shift)

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F 705. Match graphs of basic trigonometric functions with their equations F 704. Exhibit knowledge of unit circle trigonometry

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F 705. Match graphs of basic trigonometric functions with their equations
F 704. Exhibit knowledge of unit circle trigonometry

What you'll learn

  1. Sketch the base graphs of y = sin(x), y = cos(x), and y = tan(x) by plotting key points (intercepts, maxima, minima, asymptotes)
  2. Identify amplitude, period, phase shift, and vertical shift from the general form y = A sin(Bx + C) + D (and analogous cos/tan forms)
  3. Graph a transformed sinusoidal function by applying changes to amplitude, period, phase shift, and vertical shift systematically
  4. Read a graph to determine its amplitude, period, midline, and phase shift
  5. Write an equation in the form y = A sin(Bx + C) + D (or cos equivalent) that matches a given graph

Slides

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Trig graphs

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Practice

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