Linear Trig Equation Word Problem

In summary, the conversation discussed finding values of t in the domain [0, 24] for which the function h(t) is less than 0. It was suggested to graph the function and use symmetry analysis to identify equivalent radians. The student expressed confusion about what this meant.
  • #1
aeromat
114
0

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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  • #2
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.
 
  • #3
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.
 
  • #4
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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