Involute Function Calculator

Math Tool

Involute Function Calculator

Calculate the involute of a pressure angle using inv(φ) = tan(φ) - φ.

Main Calculator

The tangent is finite for this angle, so the involute is defined.
Involute Value
0.014904
tan(0.349066) - 0.349066

Validation

The pressure angle must be a finite number. If the tangent is undefined, the involute is undefined too.

Worked Example

With a 20 degree pressure angle, the involute is tan(20 deg) - 20 deg in radians.

Formula

inv(phi) = tan(phi) - phi
Convert the angle to radians before evaluating.

Frequently Asked Questions

What unit does the involute use?

The output is dimensionless. The angle input can be degrees or radians.

Why is tangent important here?

The involute formula subtracts the angle from its tangent, so tangent must be defined.

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