Mathematica --> Plotting Two Curves on the same Plot

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AI Thread Summary
The discussion presents a Mathematica program designed to plot sine and cosine curves over the interval [0, 2π]. The code defines the sine and cosine functions, then uses the Plot function to display both curves on the same graph. The sine wave is represented in red and the cosine wave in blue, with axes labeled for clarity and grid lines for better visualization. The graph dynamically scales to fit the window, ensuring an optimal display. The solution is credited to user @hagopbul for the proposal, @ChatGPT for the coding, and @renormalize for the review.
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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
 
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