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Involute Function Calculator

Result

inv(α)0.014904
↗ Math

Involute Function Calculator The Involute Function Calculator computes inv(α) = tan α − α (with α in radians), used in gear tooth geometry. Enter the pressure angle in degrees. — free online calculator.

Formula

inv(α) = tan α − α (α in radians)
  • Involute Function Calculator calculates its result from Tan Alpha, Alpha Alpha In Radians. It uses the formula inv(α) = tan α − α (α in radians). Change any input to recalculate the result instantly.
  • The main inputs are Angle α. Enter them in the units and format shown in the calculator.
  • Keep comparable quantities in compatible units whenever the formula combines or compares them.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: Involute Function

Inputs
  • Angle α: 20

Using Tan Alpha = 10, Alpha Alpha In Radians = 11, the calculated result is -1.

Sample result: Calculating…

Frequently asked questions

What does the Involute Function calculate?

Involute Function Calculator The Involute Function Calculator computes inv(α) = tan α − α (with α in radians), used in gear tooth geometry. Enter the pressure angle in degrees. — free online calculator.

Which values should I enter?

Enter Angle α using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: inv(α) = tan α − α (α in radians).

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 10, 2026