Plotting 4sin2xsinx +2 -2cos(4x) + 1/2 - 1/2cos(2x)

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The discussion revolves around plotting the mathematical expression 4sin(2x)sin(x) + 2 - 2cos(4x) + 1/2 - 1/2cos(2x) using Excel. The user reformulated the expression to facilitate plotting, specifically utilizing the identity sin²(x) = 1/2 - 1/2cos(2x). Participants confirmed the reformulation's correctness and suggested directly inputting the original formula into Excel for plotting. The conversation highlights the importance of understanding Excel's syntax for trigonometric functions.

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  • Understanding of trigonometric identities, specifically sin²(x) = 1/2 - 1/2cos(2x)
  • Familiarity with Excel's formula syntax for trigonometric functions
  • Basic knowledge of plotting functions in Excel
  • Ability to manipulate mathematical expressions for computational purposes
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  • Learn how to input trigonometric functions in Excel, including sin and cos
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andrey21
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I have found a magnitude to be the following:

4sin^(2) 2x + 4sin2xsinx + sin^(2)x


I now need to plot this using excel so I have rewritten it as:

4sin2xsinx + 2 -2cos(4x) + 1/2 - 1/2cos(2x)

4sin2xsinx +5/2 - 2cos(4x) -1/2cos(2x)

Using the fact:

sin^(2)x = 1/2 - 1/2cos(2x)

Is this correct?
 
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What you did looks fine, but how does it help? Why not just plug the original formula into Excel to plot it?
 
I was just a little unsure how to enter sin^2... in Excel. But aslong as other way looks fine i don't mind using that formula. Thanks Vela
 

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