Linear Trig Equation Word Problem

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Homework Help Overview

The discussion revolves around a linear trigonometric equation word problem, specifically focusing on the behavior of a function h(t) over a specified domain of time, which is 24 seconds.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the interpretation of the time domain and the implications for solving the problem. There is a suggestion to graph the function and analyze symmetry, along with questions about the meaning of symmetry in this context.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. Some guidance has been offered regarding the domain of the function, and there is a shared interest in graphing as a method to analyze the function's behavior.

Contextual Notes

Participants are navigating the constraints of the problem, particularly the fixed domain of [0, 24] for the variable t, and the specific requirement to determine when h(t) is less than zero.

aeromat
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Homework Statement


pg426-427-12.png

Homework Equations


doubleangleformulae.png

cmpdangleformulae.png


The Attempt at a Solution


The part I don't understand is what would be substituted (if anything) for the 24s? How will that be implemented to solve for the periods of time?
 
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You aren't supposed to substitute anything for the 24 seconds. That is the domain for t in this problem. The problem is asking, for what values of t in [0, 24], is h(t) < 0.
 
Ok so you would just graph it and use symmetry analysis to pick out the intervals right? Symmetry meaning look for radians that are equivalent in their values.
 
Graphing it would be a good start.

"Look for radians that are equivalent in their values." I don't know what that means.
 

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