Linguistic Trigonometry

[Albert Chan]

(04-18-2019 03:21 AM)Wes Loewer Wrote:  I once had a German student who said that she was taught that \(f^{2}(x) = f(f(x))\).
I thought that was silly until I realized that we use this notation for \(d^2/dx^2 (f(x)) = d/dx(d/dx (f(x)))\).

I like the idea ! Think sin as an operator, like D = d/dx

asin sin = 1
asin = sin^-1

Valentin cin(x) puzzle, cin(cin(cin(x))) = sin(x)

cin cin cin = sin
cin³ = sin
cin = sin^1/3

For calculating accurate cin(x), cin = asinⁿ cin sinⁿ, with big enough n and few Taylor terms of cin