For the simple harmonic motion described by the trigonometric function, find the maximum displacement, the frequency, the value of d when t = 5 and the least positive value of t for which d= 0. Use a %3D graphing utility to verify your results. cos 18nt (a) Find the maximum displacement. (b) Find the frequency. cycles per unit of time (c) Find the value of d when t = 5. (d) Find the least positive value of t for which d = 0.
For the simple harmonic motion described by the trigonometric function, find the maximum displacement, the frequency, the value of d when t = 5 and the least positive value of t for which d= 0. Use a %3D graphing utility to verify your results. cos 18nt (a) Find the maximum displacement. (b) Find the frequency. cycles per unit of time (c) Find the value of d when t = 5. (d) Find the least positive value of t for which d = 0.
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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![For the simple harmonic motion described by the trigonometric function, find the maximum displacement, the frequency, the value of \( d \) when \( t = 5 \), and the least positive value of \( t \) for which \( d = 0 \). Use a graphing utility to verify your results.
\[
d = \frac{1}{2} \cos 18\pi t
\]
(a) Find the maximum displacement.
\[ \text{Maximum displacement: } \]
(b) Find the frequency.
\[ \text{Frequency: } \text{______ cycles per unit time} \]
(c) Find the value of \( d \) when \( t = 5 \).
\[ d = \]
(d) Find the least positive value of \( t \) for which \( d = 0 \).
\[ t = \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F397ac19d-419d-47a7-b806-aa011335da74%2F7abf396c-0329-4e8f-a325-1fb7dbbec881%2F0cqaj89_processed.png&w=3840&q=75)
Transcribed Image Text:For the simple harmonic motion described by the trigonometric function, find the maximum displacement, the frequency, the value of \( d \) when \( t = 5 \), and the least positive value of \( t \) for which \( d = 0 \). Use a graphing utility to verify your results.
\[
d = \frac{1}{2} \cos 18\pi t
\]
(a) Find the maximum displacement.
\[ \text{Maximum displacement: } \]
(b) Find the frequency.
\[ \text{Frequency: } \text{______ cycles per unit time} \]
(c) Find the value of \( d \) when \( t = 5 \).
\[ d = \]
(d) Find the least positive value of \( t \) for which \( d = 0 \).
\[ t = \]
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