Mathematica - Plotting Two Curves on the same Plot

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SUMMARY

This discussion provides a Mathematica program that effectively plots sine and cosine curves over the interval [0, 2π]. The code defines two functions, f1 for sine and f2 for cosine, and utilizes the Plot function to display both curves in distinct colors—red for sine and blue for cosine. The graph includes labeled axes, grid lines, and a title, ensuring clarity and visual appeal. The output dynamically adjusts to fit the display window, enhancing user experience.

PREREQUISITES
  • Familiarity with Mathematica programming language
  • Understanding of trigonometric functions, specifically sine and cosine
  • Basic knowledge of plotting functions in Mathematica
  • Experience with graphical output customization in Mathematica
NEXT STEPS
  • Explore advanced plotting techniques in Mathematica, such as 3D plots
  • Learn about customizing plot aesthetics in Mathematica, including color gradients
  • Investigate the use of dynamic interactivity in Mathematica plots
  • Study the implementation of additional mathematical functions in Mathematica
USEFUL FOR

Mathematica users, educators teaching trigonometry, data visualizers, and anyone interested in mathematical graphing techniques.

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Here's a Mathematica program that plots sine and cosine curves for the interval [0,2π].

Mathematica Code:​

Code:
(* Define the functions *)
f1[x_] := Sin[x]
f2[x_] := Cos[x]

(* Plot both functions on the same graph *)
Plot[{f1[x], f2[x]}, {x, 0, 2 Pi},
  PlotStyle -> {Red, Blue},
  PlotLegends -> {"Sin[x]", "Cos[x]"},
  AxesLabel -> {"x", "y"},
  GridLines -> Automatic,
  PlotLabel -> "Plot of Sin[x] and Cos[x]"]

Output:​

  • A red sine wave and a blue cosine wave are displayed in a window.
  • Axes labeled at 0,𝜋, and 2𝜋.
  • The graph scales dynamically to fit in the window.

1741576332766-png.png



Solution Credits​


Proposed by: @hagopbul
Coded by: @ChatGPT
Reviewed by: @renormalize
 
Last edited:
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