Graphing Sin Functions: Calculator Tips and Tricks for y=sin(c(x-d))

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SUMMARY

The discussion centers on graphing the function y=sin(c(x-d)) using a TI-84 calculator, with specific values c=28 and d=3. Participants clarify the ambiguity in the equation's format, debating whether it should be interpreted as y=(sin(c))*(x-d) or y=sin(c*(x-d)). The consensus leans towards the latter interpretation for accurate graphing. The conversation highlights the importance of precise notation in mathematical expressions.

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  • Understanding of trigonometric functions, specifically sine functions.
  • Familiarity with the TI-84 calculator interface and its graphing capabilities.
  • Basic algebraic manipulation skills to rearrange equations.
  • Knowledge of function transformations, including shifts and scaling.
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  • Research how to input complex functions into the TI-84 calculator.
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  • Explore graphing techniques for sinusoidal functions.
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Students studying trigonometry, educators teaching graphing techniques, and anyone using the TI-84 calculator for mathematical functions.

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Homework Statement


This may seem like a stupid question so i apologize.

This is the general form for the said equation: y=sin c (x-d)

c= 28
d=3

How would i enter this into my calculator (ti 84) to graph it??


Homework Equations





The Attempt at a Solution



y=sin (28)(x-3)
or
y=sin (28(x-d))
or something else.

Again, I apologize if this is a stupid question
 
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Depends on whether you mean y=(sin(c))*(x-d) or y=sin(c*(x-d)). I suspect the latter, but that's just guess. If they just said y=sin c (x-d) that's kind of ambiguous, as you noticed. It's not a stupid question, but there's no clear answer.
 
Thank you
 

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