So, yesterday we were taught how to use newton’s method to approximate zeros. After playing around with it on desmos I wondered how would it work on the sin function, as at what starting value will give me what zeros. when you chose something close to zero, it will give you the zero at zero. but, at approximately 1.16556118 it starts giving out different zeros, these typically being all over the place. I found this number with 14 iterations, but I don’t know how accurate Desmos is.
How do I find the exact value of this number?