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Section 4.2.3 Frequency of Sine and Cosine Graphs

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Lesson Objective: Students will: Practice stretching a sine and cosine graph horizontally. Learn about angular frequency and its relationship to period.

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Angular Frequency How frequently a cycle of a function occurs between 0 and 2π is the angular frequency. The letter b is used to represent angular frequency.

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General Equation for Sine a = amplitude b = angular frequency h = horizontal shift k = vertical shift

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Period The product of the period, p, and the angular frequency, b, is 2π.

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Closure Given, explain all the transformations for the function.

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Assignment Pg 208 #4-97 to 4-106

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Aim: What is the transformation of trig functions? Do Now: HW: Handout Graph: y = 2 sin x and y = 2 sin x + 1, 0 ≤ x ≤ 2π on the same set of axes.

Aim: What is the transformation of trig functions? Do Now: HW: Handout Graph: y = 2 sin x and y = 2 sin x + 1, 0 ≤ x ≤ 2π on the same set of axes.

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