# Inverse of Involute function Calculator

## Calculates the inverse of the involute function using Newton method.

 $inv(\theta)=\tan \theta-\theta\frac{\pi}{180}$
involute inv(θ)

pressure angle θ
 degree
=
 $\normal Newton\ method\\[10](1)\ x_0=(3inv(\theta))^{-\frac{1}{3}}\hspace{35}at\ y\le1.2\\\hspace{25}x_0=tan^{\tiny-1}(inv(\theta))\hspace{20}at\ y>1.2\\\vspace{5}(2)\ x_{n+1}=x_{n}-{\large\frac{f(x_{n})}{f'(x_{n})}}\\\hspace{25}f(x)=\tan x-x-inv(\theta)\\\hspace{25}f'(x)=\tan^{\tiny2} x\\$

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