I have seen many times that for small angles sinθ≈θ, i want to know for how small value?

Question

and i think the value is less than 1 right? certainly sin1 ≠ 1. here units i used are degrees.

In: 6

Answer 1

It depends on your accuracy. Firstly this rule applies to radiens and not for degrees. So sin 1 = 0.84 ~ 1, at least with 80% accuracy. With x=.1 you get an accuracy of 99.8%