Lesson: Modeling with Trigonometric Functions

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

Sample Question Videos

  • 07:38
  • 03:29
  • 01:59

Worksheet: 25 Questions • 3 Videos

Q1:

A mass attached to the lower end of a spring performs oscillations where ℎ(𝑡), the displacement in centimeters of the mass from its equilibrium position, can be modeled by the function ℎ(𝑡)=8(6𝜋𝑡),sin

where 𝑡 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 ℎ(𝑡), the displacement in centimeters of the mass from its equilibrium position, can be modeled by the function ℎ(𝑡)=−5(60𝜋𝑡),cos

where 𝑡 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 ℎ(𝑡), the displacement in centimeters of the mass from its equilibrium position, can be modeled by the function ℎ(𝑡)=4𝜋2𝑡,cos

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