Lesson: Modeling with Trigonometric Functions Glencoe β€’ Algebra 2

Mathematics

In this lesson, we will learn how to model real-world situations using periodic functions.

Sample Question Videos

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  • 03:29
  • 01:59

Worksheet

Q1:

A mass attached to the lower end of a spring performs oscillations where β„Ž(𝑑), the displacement in centimeters of the mass from its equilibrium position, can be modeled by the function β„Ž(𝑑)=8(6πœ‹π‘‘)sin, where 𝑑 is measured in seconds. Find the amplitude, period, and frequency of the displacement.

Q2:

A mass attached to the lower end of a spring performs oscillations where β„Ž(𝑑), the displacement in centimeters of the mass from its equilibrium position, can be modeled by the function β„Ž(𝑑)=βˆ’5(60πœ‹π‘‘)cos, where 𝑑 is measured in seconds. Find the amplitude, period, and frequency of the displacement.

Q3:

A mass attached to the lower end of a spring performs oscillations where β„Ž(𝑑), the displacement in centimeters of the mass from its equilibrium position, can be modeled by the function β„Ž(𝑑)=4ο€»πœ‹2𝑑,cos

where 𝑑 is measured in seconds. Find the amplitude, period, and frequency of the displacement.
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