MooseWinchester6652 MooseWinchester6652
  • 21-04-2024
  • Mathematics
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Solve the multiple-angle equation x = tan(3x-1) = 0. Enter your answers as a comma-separated list. Use n as an arbitrary integer. Enter your response in radians.

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sqdancefan
sqdancefan sqdancefan
  • 21-04-2024

Answer:

  x = nπ/3 +1/3 . . . . n ∈ ℤ

Step-by-step explanation:

You want the solutions to tan(3x -1) = 0.

Tangent

The tangent function is zero for multiples of π. That means ...

  3x -1 = nπ

  3x = nπ +1 . . . . add 1

  x = (nπ +1)/3 . . . . . divide by 3

The solutions are ...

  x = nπ/3 +1/3 . . . . . n ∈ ℤ

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