I have a problem about newton’s method and sin

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.

https://www.desmos.com/calculator/acyjptz2ss

How do I find the exact value of this number?

submitted by /u/thowaway38383829103
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Nevin Manimala

Nevin Manimala is interested in blogging and finding new blogs https://nevinmanimala.com

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