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What is the principal range of the inverse sine function, arcsin(x)?

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[-π/2, π/2]

Because the sine function is periodic, its domain must be restricted to make it invertible. The interval from -90 to 90 degrees (in radians) is the standard convention to ensure a unique output.

Also asked as:
  • What is the standard interval of outputs for the arcsin(x) function?

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