If r = chip thickness ratio, α = rake angle, then shear angle ϕ is expressed as

1
\(\tan^{-1}\frac{r\cos\alpha}{1-r\sin\alpha}\)
2
\(\cot^{-1}\frac{r\cos\alpha}{1-r\sin\alpha}\)
3
\(\sin^{-1}\frac{r\cos\alpha}{1-r\sin\alpha}\)
4
\(\cos^{-1}\frac{r\cos\alpha}{1-r\sin\alpha}\)

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