Sketching Graph of g(x)=sin5x +sin3x +sinx

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SUMMARY

The discussion focuses on sketching the graph of the function g(x) = sin(5x) + sin(3x) + sin(x). Participants recommend graphing each sine function individually before combining them visually to understand the overall shape of the graph. This approach allows for a clearer representation of the function's behavior, including its amplitude and periodicity. The combination of these sine functions results in a complex waveform that reflects the contributions of each term.

PREREQUISITES
  • Understanding of trigonometric functions, specifically sine functions.
  • Familiarity with graphing techniques for periodic functions.
  • Knowledge of amplitude and frequency concepts in waveforms.
  • Basic skills in using graphing tools or software for visualization.
NEXT STEPS
  • Learn how to graph individual sine functions using graphing software like Desmos.
  • Study the principles of superposition in waveforms to understand how multiple sine functions combine.
  • Explore the effects of varying coefficients on the amplitude and frequency of sine functions.
  • Investigate Fourier series to understand how complex waveforms can be represented as sums of sine functions.
USEFUL FOR

Students studying trigonometry, mathematics educators, and anyone interested in understanding the graphical representation of combined periodic functions.

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Homework Statement


sketch the graph of g(x)=sin5x +sin3x +sinx.


Homework Equations





The Attempt at a Solution

 
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I suggest graphing each one individually and then just adding them up kinda visually, not sure what method you are supposed to use...
 

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