Solving Problems with Graphs: Step-by-Step Guide

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SUMMARY

This discussion focuses on solving mathematical problems involving graphing sinusoidal functions. The specific equations presented are y = 10sinx + csin2x and y = 12sinx + dsinkx, where c and d are constants that need to be determined. The discussion emphasizes the importance of understanding the behavior of these functions by experimenting with different values for c and d, as well as the integer k in the second equation. The approach encourages a step-by-step exploration of the graphs to gain a deeper understanding of their properties.

PREREQUISITES
  • Understanding of sinusoidal functions and their properties
  • Familiarity with graphing techniques for trigonometric equations
  • Basic knowledge of constants and their impact on function behavior
  • Ability to analyze mathematical problems step-by-step
NEXT STEPS
  • Explore the effects of varying constants in sinusoidal functions
  • Learn about graph transformations of trigonometric functions
  • Study the concept of harmonic motion in mathematics
  • Investigate the use of graphing calculators or software for visualizing functions
USEFUL FOR

Students preparing for mathematics tests, educators teaching trigonometry, and anyone interested in understanding the graphical representation of sinusoidal functions.

Kahsi
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Problem with graphs

Hi!
I hope this is the right place to post this.

I'm having problem with this kind of problems. I hope you could explain step by step on how you're solving this. To be sure that I understand well I'm posting two examples. Both of them are from old math tests I'm reding to prepare myself for my test.

1:
y = 10sinx + csin2x
What's c?

http://home.tiscali.se/21355861/bilder/graph1.PNG

...

2:
y = 12sinx
y = 12sinx + dsinkx

What's d and k?

http://home.tiscali.se/21355861/bilder/graph2.PNG


I hope someone can explain this. Please don't just give me the answer because I want to understand it.

Thank you in advance
:smile:

Edit: it should be graphs not graphes :blushing:
 
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In both cases the letters you are asking about represent constants. However, particular values for these constants have not been supplied. To graph the functions, you would need them. However some general properties can be seen by trying a few cases. In problem 1, try c>10, c=10, c<10, also negative values of the same magnitude. For problem 2, similarly for d (using 12 as the break point). I assume k is supposed to be an integer, so try different values, noting that k=2 is basically problem 1.
 

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