What is the period of function g(t)?

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Homework Help Overview

The discussion revolves around determining the period of the function g(t) = cos(4t) + sin(t), which involves understanding the periodic nature of trigonometric functions.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss methods for finding the period, including graphical analysis versus analytical approaches. Some express a preference for analysis without graphing.

Discussion Status

Participants are exploring the periodic properties of the individual components of the function. There is a mention of the fundamental periods of sin(t) and cos(4t), and how these relate to the overall period of g(t). No consensus has been reached yet.

Contextual Notes

One participant emphasizes the need to find the period without graphing, which may influence the approaches discussed.

Ry122
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How do I find the period of this function?
g(t) = cos (4t) + sin (t)
 
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Graph it and check? Or would you rather do it by analysis.
 
i need to do it without graphing
 
sin t is periodic with fundamental period [itex]2\pi[/itex] and cos 4t is periodic with fundamental period [itex]\pi/2[/itex]. Since [itex]2\pi= 4(\pi/2)[/itex], [itex]2\pi[/itex] is also a period of cos 4t.
 

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